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Finding the Fourth Proportional to 17,184, 23,713.92 and 9,732

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Solution

The fourth proportional to 17,184, 23,713.92 and 9,732 is: 13,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184 : 23,713.92 = 9,732 : x
  2. Step 2: Convert to fraction form
    17,184/23,713.92 = 9,732/x
  3. Step 3: Cross multiply
    17,184x = 23,713.92 × 9,732
  4. Step 4: Simplify right side
    17,184x = 230,783,869.44
  5. Step 5: Solve for x
    x = 230,783,869.44/17,184
  6. Step 6: Final answer
    x = 13,430.16

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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.