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Finding the Fourth Proportional to 24,382.92, 36,570.63 and 7,740.79

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Solution

The fourth proportional to 24,382.92, 36,570.63 and 7,740.79 is: 11,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.92 : 36,570.63 = 7,740.79 : x
  2. Step 2: Convert to fraction form
    24,382.92/36,570.63 = 7,740.79/x
  3. Step 3: Cross multiply
    24,382.92x = 36,570.63 × 7,740.79
  4. Step 4: Simplify right side
    24,382.92x = 283,085,567.00
  5. Step 5: Solve for x
    x = 283,085,567.00/24,382.92
  6. Step 6: Final answer
    x = 11,609.99

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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.