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Finding the Fourth Proportional to 17,184.18, 23,713.92 and 9,631.20

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Solution

The fourth proportional to 17,184.18, 23,713.92 and 9,631.20 is: 13,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.18 : 23,713.92 = 9,631.20 : x
  2. Step 2: Convert to fraction form
    17,184.18/23,713.92 = 9,631.20/x
  3. Step 3: Cross multiply
    17,184.18x = 23,713.92 × 9,631.20
  4. Step 4: Simplify right side
    17,184.18x = 228,393,506.30
  5. Step 5: Solve for x
    x = 228,393,506.30/17,184.18
  6. Step 6: Final answer
    x = 13,290.92

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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.