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Finding the Fourth Proportional to 17,860.80, 24,647.52 and 9,902.88

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Solution

The fourth proportional to 17,860.80, 24,647.52 and 9,902.88 is: 13,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860.80 : 24,647.52 = 9,902.88 : x
  2. Step 2: Convert to fraction form
    17,860.80/24,647.52 = 9,902.88/x
  3. Step 3: Cross multiply
    17,860.80x = 24,647.52 × 9,902.88
  4. Step 4: Simplify right side
    17,860.80x = 244,081,432.86
  5. Step 5: Solve for x
    x = 244,081,432.86/17,860.80
  6. Step 6: Final answer
    x = 13,665.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.