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Finding the Fourth Proportional to 15,713.85, 23,524.00 and 10,150.97

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Solution

The fourth proportional to 15,713.85, 23,524.00 and 10,150.97 is: 15,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.85 : 23,524.00 = 10,150.97 : x
  2. Step 2: Convert to fraction form
    15,713.85/23,524.00 = 10,150.97/x
  3. Step 3: Cross multiply
    15,713.85x = 23,524.00 × 10,150.97
  4. Step 4: Simplify right side
    15,713.85x = 238,791,451.71
  5. Step 5: Solve for x
    x = 238,791,451.71/15,713.85
  6. Step 6: Final answer
    x = 15,196.24

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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.