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Finding the Fourth Proportional to 10,314.69, 15,471.90 and 2,523.57

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Solution

The fourth proportional to 10,314.69, 15,471.90 and 2,523.57 is: 3,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.69 : 15,471.90 = 2,523.57 : x
  2. Step 2: Convert to fraction form
    10,314.69/15,471.90 = 2,523.57/x
  3. Step 3: Cross multiply
    10,314.69x = 15,471.90 × 2,523.57
  4. Step 4: Simplify right side
    10,314.69x = 39,044,410.07
  5. Step 5: Solve for x
    x = 39,044,410.07/10,314.69
  6. Step 6: Final answer
    x = 3,785.32

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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.