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Finding the Fourth Proportional to 16,215.71, 24,315.26 and 7,443

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Solution

The fourth proportional to 16,215.71, 24,315.26 and 7,443 is: 11,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.71 : 24,315.26 = 7,443 : x
  2. Step 2: Convert to fraction form
    16,215.71/24,315.26 = 7,443/x
  3. Step 3: Cross multiply
    16,215.71x = 24,315.26 × 7,443
  4. Step 4: Simplify right side
    16,215.71x = 180,978,442.97
  5. Step 5: Solve for x
    x = 180,978,442.97/16,215.71
  6. Step 6: Final answer
    x = 11,160.69

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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.