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Finding the Fourth Proportional to 16,494.46, 22,742.31 and 11,462.86

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Solution

The fourth proportional to 16,494.46, 22,742.31 and 11,462.86 is: 15,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.46 : 22,742.31 = 11,462.86 : x
  2. Step 2: Convert to fraction form
    16,494.46/22,742.31 = 11,462.86/x
  3. Step 3: Cross multiply
    16,494.46x = 22,742.31 × 11,462.86
  4. Step 4: Simplify right side
    16,494.46x = 260,691,915.61
  5. Step 5: Solve for x
    x = 260,691,915.61/16,494.46
  6. Step 6: Final answer
    x = 15,804.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.