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Finding the Fourth Proportional to 24,416.14, 36,624.20 and 5,948.14

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Solution

The fourth proportional to 24,416.14, 36,624.20 and 5,948.14 is: 8,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.14 : 36,624.20 = 5,948.14 : x
  2. Step 2: Convert to fraction form
    24,416.14/36,624.20 = 5,948.14/x
  3. Step 3: Cross multiply
    24,416.14x = 36,624.20 × 5,948.14
  4. Step 4: Simplify right side
    24,416.14x = 217,845,868.99
  5. Step 5: Solve for x
    x = 217,845,868.99/24,416.14
  6. Step 6: Final answer
    x = 8,922.21

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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.