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Finding the Fourth Proportional to 12,881.62, 17,776.61 and 7,293.14

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Solution

The fourth proportional to 12,881.62, 17,776.61 and 7,293.14 is: 10,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.62 : 17,776.61 = 7,293.14 : x
  2. Step 2: Convert to fraction form
    12,881.62/17,776.61 = 7,293.14/x
  3. Step 3: Cross multiply
    12,881.62x = 17,776.61 × 7,293.14
  4. Step 4: Simplify right side
    12,881.62x = 129,647,305.46
  5. Step 5: Solve for x
    x = 129,647,305.46/12,881.62
  6. Step 6: Final answer
    x = 10,064.52

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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.