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Finding the Fourth Proportional to 24,382.48, 36,566.16 and 8,798.08

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Solution

The fourth proportional to 24,382.48, 36,566.16 and 8,798.08 is: 13,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.48 : 36,566.16 = 8,798.08 : x
  2. Step 2: Convert to fraction form
    24,382.48/36,566.16 = 8,798.08/x
  3. Step 3: Cross multiply
    24,382.48x = 36,566.16 × 8,798.08
  4. Step 4: Simplify right side
    24,382.48x = 321,712,000.97
  5. Step 5: Solve for x
    x = 321,712,000.97/24,382.48
  6. Step 6: Final answer
    x = 13,194.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.