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Finding the Fourth Proportional to 16,215.20, 24,314.69 and 7,442.63

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Solution

The fourth proportional to 16,215.20, 24,314.69 and 7,442.63 is: 11,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.20 : 24,314.69 = 7,442.63 : x
  2. Step 2: Convert to fraction form
    16,215.20/24,314.69 = 7,442.63/x
  3. Step 3: Cross multiply
    16,215.20x = 24,314.69 × 7,442.63
  4. Step 4: Simplify right side
    16,215.20x = 180,965,138.27
  5. Step 5: Solve for x
    x = 180,965,138.27/16,215.20
  6. Step 6: Final answer
    x = 11,160.22

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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.