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Finding the Fourth Proportional to 12,877.40, 17,771.24 and 7,572.71

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Solution

The fourth proportional to 12,877.40, 17,771.24 and 7,572.71 is: 10,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.40 : 17,771.24 = 7,572.71 : x
  2. Step 2: Convert to fraction form
    12,877.40/17,771.24 = 7,572.71/x
  3. Step 3: Cross multiply
    12,877.40x = 17,771.24 × 7,572.71
  4. Step 4: Simplify right side
    12,877.40x = 134,576,376.94
  5. Step 5: Solve for x
    x = 134,576,376.94/12,877.40
  6. Step 6: Final answer
    x = 10,450.59

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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.