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Finding the Fourth Proportional to 12,924.41, 17,834.43 and 7,257.87

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Solution

The fourth proportional to 12,924.41, 17,834.43 and 7,257.87 is: 10,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.41 : 17,834.43 = 7,257.87 : x
  2. Step 2: Convert to fraction form
    12,924.41/17,834.43 = 7,257.87/x
  3. Step 3: Cross multiply
    12,924.41x = 17,834.43 × 7,257.87
  4. Step 4: Simplify right side
    12,924.41x = 129,439,938.17
  5. Step 5: Solve for x
    x = 129,439,938.17/12,924.41
  6. Step 6: Final answer
    x = 10,015.15

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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.