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Finding the Fourth Proportional to 24,702.35, 34,088.92 and 14,092.16

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Solution

The fourth proportional to 24,702.35, 34,088.92 and 14,092.16 is: 19,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.35 : 34,088.92 = 14,092.16 : x
  2. Step 2: Convert to fraction form
    24,702.35/34,088.92 = 14,092.16/x
  3. Step 3: Cross multiply
    24,702.35x = 34,088.92 × 14,092.16
  4. Step 4: Simplify right side
    24,702.35x = 480,386,309.19
  5. Step 5: Solve for x
    x = 480,386,309.19/24,702.35
  6. Step 6: Final answer
    x = 19,446.99

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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.