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Finding the Fourth Proportional to 15,704.78, 23,532.54 and 13,355.12

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Solution

The fourth proportional to 15,704.78, 23,532.54 and 13,355.12 is: 20,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.78 : 23,532.54 = 13,355.12 : x
  2. Step 2: Convert to fraction form
    15,704.78/23,532.54 = 13,355.12/x
  3. Step 3: Cross multiply
    15,704.78x = 23,532.54 × 13,355.12
  4. Step 4: Simplify right side
    15,704.78x = 314,279,777.94
  5. Step 5: Solve for x
    x = 314,279,777.94/15,704.78
  6. Step 6: Final answer
    x = 20,011.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.