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Finding the Fourth Proportional to 15,343.90, 23,015.85 and 8,462.14

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Solution

The fourth proportional to 15,343.90, 23,015.85 and 8,462.14 is: 12,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,343.90 : 23,015.85 = 8,462.14 : x
  2. Step 2: Convert to fraction form
    15,343.90/23,015.85 = 8,462.14/x
  3. Step 3: Cross multiply
    15,343.90x = 23,015.85 × 8,462.14
  4. Step 4: Simplify right side
    15,343.90x = 194,763,344.92
  5. Step 5: Solve for x
    x = 194,763,344.92/15,343.90
  6. Step 6: Final answer
    x = 12,693.21

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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.