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Finding the Fourth Proportional to 22,702.72, 34,061.04 and 11,617.29

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Solution

The fourth proportional to 22,702.72, 34,061.04 and 11,617.29 is: 17,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.72 : 34,061.04 = 11,617.29 : x
  2. Step 2: Convert to fraction form
    22,702.72/34,061.04 = 11,617.29/x
  3. Step 3: Cross multiply
    22,702.72x = 34,061.04 × 11,617.29
  4. Step 4: Simplify right side
    22,702.72x = 395,696,979.38
  5. Step 5: Solve for x
    x = 395,696,979.38/22,702.72
  6. Step 6: Final answer
    x = 17,429.50

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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.