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Finding the Fourth Proportional to 24,702.32, 34,090 and 13,524.32

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Solution

The fourth proportional to 24,702.32, 34,090 and 13,524.32 is: 18,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.32 : 34,090 = 13,524.32 : x
  2. Step 2: Convert to fraction form
    24,702.32/34,090 = 13,524.32/x
  3. Step 3: Cross multiply
    24,702.32x = 34,090 × 13,524.32
  4. Step 4: Simplify right side
    24,702.32x = 461,044,068.80
  5. Step 5: Solve for x
    x = 461,044,068.80/24,702.32
  6. Step 6: Final answer
    x = 18,664.00

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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.