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Finding the Fourth Proportional to 24,679.80, 37,025.16 and 7,148.16

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Solution

The fourth proportional to 24,679.80, 37,025.16 and 7,148.16 is: 10,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,679.80 : 37,025.16 = 7,148.16 : x
  2. Step 2: Convert to fraction form
    24,679.80/37,025.16 = 7,148.16/x
  3. Step 3: Cross multiply
    24,679.80x = 37,025.16 × 7,148.16
  4. Step 4: Simplify right side
    24,679.80x = 264,661,767.71
  5. Step 5: Solve for x
    x = 264,661,767.71/24,679.80
  6. Step 6: Final answer
    x = 10,723.82

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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.