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Finding the Fourth Proportional to 17,382.60, 23,990.16 and 9,829.35

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Solution

The fourth proportional to 17,382.60, 23,990.16 and 9,829.35 is: 13,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.60 : 23,990.16 = 9,829.35 : x
  2. Step 2: Convert to fraction form
    17,382.60/23,990.16 = 9,829.35/x
  3. Step 3: Cross multiply
    17,382.60x = 23,990.16 × 9,829.35
  4. Step 4: Simplify right side
    17,382.60x = 235,807,679.20
  5. Step 5: Solve for x
    x = 235,807,679.20/17,382.60
  6. Step 6: Final answer
    x = 13,565.73

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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.