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Finding the Fourth Proportional to 24,812.68, 37,218.48 and 7,282.68

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Solution

The fourth proportional to 24,812.68, 37,218.48 and 7,282.68 is: 10,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.68 : 37,218.48 = 7,282.68 : x
  2. Step 2: Convert to fraction form
    24,812.68/37,218.48 = 7,282.68/x
  3. Step 3: Cross multiply
    24,812.68x = 37,218.48 × 7,282.68
  4. Step 4: Simplify right side
    24,812.68x = 271,050,279.93
  5. Step 5: Solve for x
    x = 271,050,279.93/24,812.68
  6. Step 6: Final answer
    x = 10,923.86

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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.