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Finding the Fourth Proportional to 13,306.32, 19,965.24 and 7,143.12

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Solution

The fourth proportional to 13,306.32, 19,965.24 and 7,143.12 is: 10,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306.32 : 19,965.24 = 7,143.12 : x
  2. Step 2: Convert to fraction form
    13,306.32/19,965.24 = 7,143.12/x
  3. Step 3: Cross multiply
    13,306.32x = 19,965.24 × 7,143.12
  4. Step 4: Simplify right side
    13,306.32x = 142,614,105.15
  5. Step 5: Solve for x
    x = 142,614,105.15/13,306.32
  6. Step 6: Final answer
    x = 10,717.77

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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.