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Finding the Fourth Proportional to 12,654,182.16, 17,462,678.90 and 6,852,829.32

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Solution

The fourth proportional to 12,654,182.16, 17,462,678.90 and 6,852,829.32 is: 9,456,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654,182.16 : 17,462,678.90 = 6,852,829.32 : x
  2. Step 2: Convert to fraction form
    12,654,182.16/17,462,678.90 = 6,852,829.32/x
  3. Step 3: Cross multiply
    12,654,182.16x = 17,462,678.90 × 6,852,829.32
  4. Step 4: Simplify right side
    12,654,182.16x = 119,668,757,937,401.20
  5. Step 5: Solve for x
    x = 119,668,757,937,401.20/12,654,182.16
  6. Step 6: Final answer
    x = 9,456,854.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.