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Finding the Fourth Proportional to 24,154.14, 36,239.40 and 21,825

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Solution

The fourth proportional to 24,154.14, 36,239.40 and 21,825 is: 32,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,154.14 : 36,239.40 = 21,825 : x
  2. Step 2: Convert to fraction form
    24,154.14/36,239.40 = 21,825/x
  3. Step 3: Cross multiply
    24,154.14x = 36,239.40 × 21,825
  4. Step 4: Simplify right side
    24,154.14x = 790,924,905
  5. Step 5: Solve for x
    x = 790,924,905/24,154.14
  6. Step 6: Final answer
    x = 32,744.90

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