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Finding the Fourth Proportional to 12,025.40, 16,584.31 and 7,549.57

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Solution

The fourth proportional to 12,025.40, 16,584.31 and 7,549.57 is: 10,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.40 : 16,584.31 = 7,549.57 : x
  2. Step 2: Convert to fraction form
    12,025.40/16,584.31 = 7,549.57/x
  3. Step 3: Cross multiply
    12,025.40x = 16,584.31 × 7,549.57
  4. Step 4: Simplify right side
    12,025.40x = 125,204,348.91
  5. Step 5: Solve for x
    x = 125,204,348.91/12,025.40
  6. Step 6: Final answer
    x = 10,411.66

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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.