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Finding the Fourth Proportional to 17,184.16, 25,776.24 and 7,948.96

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Solution

The fourth proportional to 17,184.16, 25,776.24 and 7,948.96 is: 11,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.16 : 25,776.24 = 7,948.96 : x
  2. Step 2: Convert to fraction form
    17,184.16/25,776.24 = 7,948.96/x
  3. Step 3: Cross multiply
    17,184.16x = 25,776.24 × 7,948.96
  4. Step 4: Simplify right side
    17,184.16x = 204,894,300.71
  5. Step 5: Solve for x
    x = 204,894,300.71/17,184.16
  6. Step 6: Final answer
    x = 11,923.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.