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Finding the Fourth Proportional to 24,442.50, 36,663.75 and 8,860.14

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Solution

The fourth proportional to 24,442.50, 36,663.75 and 8,860.14 is: 13,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.50 : 36,663.75 = 8,860.14 : x
  2. Step 2: Convert to fraction form
    24,442.50/36,663.75 = 8,860.14/x
  3. Step 3: Cross multiply
    24,442.50x = 36,663.75 × 8,860.14
  4. Step 4: Simplify right side
    24,442.50x = 324,845,957.93
  5. Step 5: Solve for x
    x = 324,845,957.93/24,442.50
  6. Step 6: Final answer
    x = 13,290.21

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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.