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Finding the Fourth Proportional to 17,878.69, 26,827.14 and 7,356.79

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Solution

The fourth proportional to 17,878.69, 26,827.14 and 7,356.79 is: 11,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.69 : 26,827.14 = 7,356.79 : x
  2. Step 2: Convert to fraction form
    17,878.69/26,827.14 = 7,356.79/x
  3. Step 3: Cross multiply
    17,878.69x = 26,827.14 × 7,356.79
  4. Step 4: Simplify right side
    17,878.69x = 197,361,635.28
  5. Step 5: Solve for x
    x = 197,361,635.28/17,878.69
  6. Step 6: Final answer
    x = 11,038.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.