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Finding the Fourth Proportional to 12,981.32, 17,911.86 and 7,391.24

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Solution

The fourth proportional to 12,981.32, 17,911.86 and 7,391.24 is: 10,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.32 : 17,911.86 = 7,391.24 : x
  2. Step 2: Convert to fraction form
    12,981.32/17,911.86 = 7,391.24/x
  3. Step 3: Cross multiply
    12,981.32x = 17,911.86 × 7,391.24
  4. Step 4: Simplify right side
    12,981.32x = 132,390,856.11
  5. Step 5: Solve for x
    x = 132,390,856.11/12,981.32
  6. Step 6: Final answer
    x = 10,198.57

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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.