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Finding the Fourth Proportional to 17,860.47, 24,647.22 and 9,902.85

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Solution

The fourth proportional to 17,860.47, 24,647.22 and 9,902.85 is: 13,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860.47 : 24,647.22 = 9,902.85 : x
  2. Step 2: Convert to fraction form
    17,860.47/24,647.22 = 9,902.85/x
  3. Step 3: Cross multiply
    17,860.47x = 24,647.22 × 9,902.85
  4. Step 4: Simplify right side
    17,860.47x = 244,077,722.58
  5. Step 5: Solve for x
    x = 244,077,722.58/17,860.47
  6. Step 6: Final answer
    x = 13,665.81

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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.