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Finding the Fourth Proportional to 16,339.04, 24,472.08 and 12,614

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Solution

The fourth proportional to 16,339.04, 24,472.08 and 12,614 is: 18,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.04 : 24,472.08 = 12,614 : x
  2. Step 2: Convert to fraction form
    16,339.04/24,472.08 = 12,614/x
  3. Step 3: Cross multiply
    16,339.04x = 24,472.08 × 12,614
  4. Step 4: Simplify right side
    16,339.04x = 308,690,817.12
  5. Step 5: Solve for x
    x = 308,690,817.12/16,339.04
  6. Step 6: Final answer
    x = 18,892.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.