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Finding the Fourth Proportional to 24,654.96, 36,987.90 and 7,123.50

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Solution

The fourth proportional to 24,654.96, 36,987.90 and 7,123.50 is: 10,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654.96 : 36,987.90 = 7,123.50 : x
  2. Step 2: Convert to fraction form
    24,654.96/36,987.90 = 7,123.50/x
  3. Step 3: Cross multiply
    24,654.96x = 36,987.90 × 7,123.50
  4. Step 4: Simplify right side
    24,654.96x = 263,483,305.65
  5. Step 5: Solve for x
    x = 263,483,305.65/24,654.96
  6. Step 6: Final answer
    x = 10,686.83

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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.