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Finding the Fourth Proportional to 12,966.87, 17,896.46 and 7,515.13

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Solution

The fourth proportional to 12,966.87, 17,896.46 and 7,515.13 is: 10,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.87 : 17,896.46 = 7,515.13 : x
  2. Step 2: Convert to fraction form
    12,966.87/17,896.46 = 7,515.13/x
  3. Step 3: Cross multiply
    12,966.87x = 17,896.46 × 7,515.13
  4. Step 4: Simplify right side
    12,966.87x = 134,494,152.75
  5. Step 5: Solve for x
    x = 134,494,152.75/12,966.87
  6. Step 6: Final answer
    x = 10,372.14

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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.