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Finding the Fourth Proportional to 17,860.47, 24,647.33 and 9,902.70

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Solution

The fourth proportional to 17,860.47, 24,647.33 and 9,902.70 is: 13,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860.47 : 24,647.33 = 9,902.70 : x
  2. Step 2: Convert to fraction form
    17,860.47/24,647.33 = 9,902.70/x
  3. Step 3: Cross multiply
    17,860.47x = 24,647.33 × 9,902.70
  4. Step 4: Simplify right side
    17,860.47x = 244,074,991.55
  5. Step 5: Solve for x
    x = 244,074,991.55/17,860.47
  6. Step 6: Final answer
    x = 13,665.65

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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.