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Finding the Fourth Proportional to 23,562.74, 32,516.50 and 13,491

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Solution

The fourth proportional to 23,562.74, 32,516.50 and 13,491 is: 18,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.74 : 32,516.50 = 13,491 : x
  2. Step 2: Convert to fraction form
    23,562.74/32,516.50 = 13,491/x
  3. Step 3: Cross multiply
    23,562.74x = 32,516.50 × 13,491
  4. Step 4: Simplify right side
    23,562.74x = 438,680,101.50
  5. Step 5: Solve for x
    x = 438,680,101.50/23,562.74
  6. Step 6: Final answer
    x = 18,617.53

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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.