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Finding the Fourth Proportional to 24,569.08, 33,905.88 and 14,500

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Solution

The fourth proportional to 24,569.08, 33,905.88 and 14,500 is: 20,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,569.08 : 33,905.88 = 14,500 : x
  2. Step 2: Convert to fraction form
    24,569.08/33,905.88 = 14,500/x
  3. Step 3: Cross multiply
    24,569.08x = 33,905.88 × 14,500
  4. Step 4: Simplify right side
    24,569.08x = 491,635,260.00
  5. Step 5: Solve for x
    x = 491,635,260.00/24,569.08
  6. Step 6: Final answer
    x = 20,010.32

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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.