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Finding the Fourth Proportional to 12,542.88, 17,309.44 and 6,877.76

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Solution

The fourth proportional to 12,542.88, 17,309.44 and 6,877.76 is: 9,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.88 : 17,309.44 = 6,877.76 : x
  2. Step 2: Convert to fraction form
    12,542.88/17,309.44 = 6,877.76/x
  3. Step 3: Cross multiply
    12,542.88x = 17,309.44 × 6,877.76
  4. Step 4: Simplify right side
    12,542.88x = 119,050,174.05
  5. Step 5: Solve for x
    x = 119,050,174.05/12,542.88
  6. Step 6: Final answer
    x = 9,491.45

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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.