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Finding the Fourth Proportional to 12,881.72, 17,775.24 and 7,216.76

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Solution

The fourth proportional to 12,881.72, 17,775.24 and 7,216.76 is: 9,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.72 : 17,775.24 = 7,216.76 : x
  2. Step 2: Convert to fraction form
    12,881.72/17,775.24 = 7,216.76/x
  3. Step 3: Cross multiply
    12,881.72x = 17,775.24 × 7,216.76
  4. Step 4: Simplify right side
    12,881.72x = 128,279,641.02
  5. Step 5: Solve for x
    x = 128,279,641.02/12,881.72
  6. Step 6: Final answer
    x = 9,958.27

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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.