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Finding the Fourth Proportional to 15,400.62, 23,098.53 and 5,012.30

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Solution

The fourth proportional to 15,400.62, 23,098.53 and 5,012.30 is: 7,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.62 : 23,098.53 = 5,012.30 : x
  2. Step 2: Convert to fraction form
    15,400.62/23,098.53 = 5,012.30/x
  3. Step 3: Cross multiply
    15,400.62x = 23,098.53 × 5,012.30
  4. Step 4: Simplify right side
    15,400.62x = 115,776,761.92
  5. Step 5: Solve for x
    x = 115,776,761.92/15,400.62
  6. Step 6: Final answer
    x = 7,517.67

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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.