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Finding the Fourth Proportional to 16,347.66, 24,489.32 and 10,784

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Solution

The fourth proportional to 16,347.66, 24,489.32 and 10,784 is: 16,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.66 : 24,489.32 = 10,784 : x
  2. Step 2: Convert to fraction form
    16,347.66/24,489.32 = 10,784/x
  3. Step 3: Cross multiply
    16,347.66x = 24,489.32 × 10,784
  4. Step 4: Simplify right side
    16,347.66x = 264,092,826.88
  5. Step 5: Solve for x
    x = 264,092,826.88/16,347.66
  6. Step 6: Final answer
    x = 16,154.78

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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.