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Finding the Fourth Proportional to 24,438.60, 36,652.14 and 7,801.20

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Solution

The fourth proportional to 24,438.60, 36,652.14 and 7,801.20 is: 11,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,438.60 : 36,652.14 = 7,801.20 : x
  2. Step 2: Convert to fraction form
    24,438.60/36,652.14 = 7,801.20/x
  3. Step 3: Cross multiply
    24,438.60x = 36,652.14 × 7,801.20
  4. Step 4: Simplify right side
    24,438.60x = 285,930,674.57
  5. Step 5: Solve for x
    x = 285,930,674.57/24,438.60
  6. Step 6: Final answer
    x = 11,699.96

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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.