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Finding the Fourth Proportional to 12,456.72, 17,189.64 and 7,151.76

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Solution

The fourth proportional to 12,456.72, 17,189.64 and 7,151.76 is: 9,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.72 : 17,189.64 = 7,151.76 : x
  2. Step 2: Convert to fraction form
    12,456.72/17,189.64 = 7,151.76/x
  3. Step 3: Cross multiply
    12,456.72x = 17,189.64 × 7,151.76
  4. Step 4: Simplify right side
    12,456.72x = 122,936,179.77
  5. Step 5: Solve for x
    x = 122,936,179.77/12,456.72
  6. Step 6: Final answer
    x = 9,869.07

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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.