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Finding the Fourth Proportional to 15,711.36, 23,559.36 and 5,715.78

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Solution

The fourth proportional to 15,711.36, 23,559.36 and 5,715.78 is: 8,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.36 : 23,559.36 = 5,715.78 : x
  2. Step 2: Convert to fraction form
    15,711.36/23,559.36 = 5,715.78/x
  3. Step 3: Cross multiply
    15,711.36x = 23,559.36 × 5,715.78
  4. Step 4: Simplify right side
    15,711.36x = 134,660,118.70
  5. Step 5: Solve for x
    x = 134,660,118.70/15,711.36
  6. Step 6: Final answer
    x = 8,570.88

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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.