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Finding the Fourth Proportional to 12,881.92, 17,777.12 and 7,578.40

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Solution

The fourth proportional to 12,881.92, 17,777.12 and 7,578.40 is: 10,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.92 : 17,777.12 = 7,578.40 : x
  2. Step 2: Convert to fraction form
    12,881.92/17,777.12 = 7,578.40/x
  3. Step 3: Cross multiply
    12,881.92x = 17,777.12 × 7,578.40
  4. Step 4: Simplify right side
    12,881.92x = 134,722,126.21
  5. Step 5: Solve for x
    x = 134,722,126.21/12,881.92
  6. Step 6: Final answer
    x = 10,458.23

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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.