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Finding the Fourth Proportional to 16,472.38, 24,711 and 4,784.08

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Solution

The fourth proportional to 16,472.38, 24,711 and 4,784.08 is: 7,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.38 : 24,711 = 4,784.08 : x
  2. Step 2: Convert to fraction form
    16,472.38/24,711 = 4,784.08/x
  3. Step 3: Cross multiply
    16,472.38x = 24,711 × 4,784.08
  4. Step 4: Simplify right side
    16,472.38x = 118,219,400.88
  5. Step 5: Solve for x
    x = 118,219,400.88/16,472.38
  6. Step 6: Final answer
    x = 7,176.83

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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.