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Finding the Fourth Proportional to 24,811.65, 37,217.70 and 7,281.81

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Solution

The fourth proportional to 24,811.65, 37,217.70 and 7,281.81 is: 10,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.65 : 37,217.70 = 7,281.81 : x
  2. Step 2: Convert to fraction form
    24,811.65/37,217.70 = 7,281.81/x
  3. Step 3: Cross multiply
    24,811.65x = 37,217.70 × 7,281.81
  4. Step 4: Simplify right side
    24,811.65x = 271,012,220.04
  5. Step 5: Solve for x
    x = 271,012,220.04/24,811.65
  6. Step 6: Final answer
    x = 10,922.78

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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.