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Finding the Fourth Proportional to 17,184.72, 23,713.32 and 9,732.72

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Solution

The fourth proportional to 17,184.72, 23,713.32 and 9,732.72 is: 13,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.72 : 23,713.32 = 9,732.72 : x
  2. Step 2: Convert to fraction form
    17,184.72/23,713.32 = 9,732.72/x
  3. Step 3: Cross multiply
    17,184.72x = 23,713.32 × 9,732.72
  4. Step 4: Simplify right side
    17,184.72x = 230,795,103.83
  5. Step 5: Solve for x
    x = 230,795,103.83/17,184.72
  6. Step 6: Final answer
    x = 13,430.25

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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.