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Finding the Fourth Proportional to 23,560.74, 32,513.74 and 13,489.00

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Solution

The fourth proportional to 23,560.74, 32,513.74 and 13,489.00 is: 18,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,560.74 : 32,513.74 = 13,489.00 : x
  2. Step 2: Convert to fraction form
    23,560.74/32,513.74 = 13,489.00/x
  3. Step 3: Cross multiply
    23,560.74x = 32,513.74 × 13,489.00
  4. Step 4: Simplify right side
    23,560.74x = 438,577,723.85
  5. Step 5: Solve for x
    x = 438,577,723.85/23,560.74
  6. Step 6: Final answer
    x = 18,614.77

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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.