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Finding the Fourth Proportional to 17,860.92, 24,647.76 and 9,902.95

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Solution

The fourth proportional to 17,860.92, 24,647.76 and 9,902.95 is: 13,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860.92 : 24,647.76 = 9,902.95 : x
  2. Step 2: Convert to fraction form
    17,860.92/24,647.76 = 9,902.95/x
  3. Step 3: Cross multiply
    17,860.92x = 24,647.76 × 9,902.95
  4. Step 4: Simplify right side
    17,860.92x = 244,085,534.89
  5. Step 5: Solve for x
    x = 244,085,534.89/17,860.92
  6. Step 6: Final answer
    x = 13,665.90

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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.