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Finding the Fourth Proportional to 29,783.52, 41,098.86 and 17,209.08

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Solution

The fourth proportional to 29,783.52, 41,098.86 and 17,209.08 is: 23,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783.52 : 41,098.86 = 17,209.08 : x
  2. Step 2: Convert to fraction form
    29,783.52/41,098.86 = 17,209.08/x
  3. Step 3: Cross multiply
    29,783.52x = 41,098.86 × 17,209.08
  4. Step 4: Simplify right side
    29,783.52x = 707,273,569.65
  5. Step 5: Solve for x
    x = 707,273,569.65/29,783.52
  6. Step 6: Final answer
    x = 23,747.15

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