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Finding the Fourth Proportional to 26,380.16, 39,569.92 and 7,912

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Solution

The fourth proportional to 26,380.16, 39,569.92 and 7,912 is: 11,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380.16 : 39,569.92 = 7,912 : x
  2. Step 2: Convert to fraction form
    26,380.16/39,569.92 = 7,912/x
  3. Step 3: Cross multiply
    26,380.16x = 39,569.92 × 7,912
  4. Step 4: Simplify right side
    26,380.16x = 313,077,207.04
  5. Step 5: Solve for x
    x = 313,077,207.04/26,380.16
  6. Step 6: Final answer
    x = 11,867.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.