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Finding the Fourth Proportional to 12,340.17, 17,029.88 and 7,034.13

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Solution

The fourth proportional to 12,340.17, 17,029.88 and 7,034.13 is: 9,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.17 : 17,029.88 = 7,034.13 : x
  2. Step 2: Convert to fraction form
    12,340.17/17,029.88 = 7,034.13/x
  3. Step 3: Cross multiply
    12,340.17x = 17,029.88 × 7,034.13
  4. Step 4: Simplify right side
    12,340.17x = 119,790,354.63
  5. Step 5: Solve for x
    x = 119,790,354.63/12,340.17
  6. Step 6: Final answer
    x = 9,707.35

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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.