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Finding the Fourth Proportional to 17,839.60, 24,619.98 and 9,884.32

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Solution

The fourth proportional to 17,839.60, 24,619.98 and 9,884.32 is: 13,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,839.60 : 24,619.98 = 9,884.32 : x
  2. Step 2: Convert to fraction form
    17,839.60/24,619.98 = 9,884.32/x
  3. Step 3: Cross multiply
    17,839.60x = 24,619.98 × 9,884.32
  4. Step 4: Simplify right side
    17,839.60x = 243,351,760.71
  5. Step 5: Solve for x
    x = 243,351,760.71/17,839.60
  6. Step 6: Final answer
    x = 13,641.10

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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.