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Finding the Fourth Proportional to 13,654.65, 20,488.67 and 4,890.24

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Solution

The fourth proportional to 13,654.65, 20,488.67 and 4,890.24 is: 7,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.65 : 20,488.67 = 4,890.24 : x
  2. Step 2: Convert to fraction form
    13,654.65/20,488.67 = 4,890.24/x
  3. Step 3: Cross multiply
    13,654.65x = 20,488.67 × 4,890.24
  4. Step 4: Simplify right side
    13,654.65x = 100,194,489.13
  5. Step 5: Solve for x
    x = 100,194,489.13/13,654.65
  6. Step 6: Final answer
    x = 7,337.76

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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.