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Finding the Fourth Proportional to 26,918.40, 40,373.76 and 8,448

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Solution

The fourth proportional to 26,918.40, 40,373.76 and 8,448 is: 12,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,918.40 : 40,373.76 = 8,448 : x
  2. Step 2: Convert to fraction form
    26,918.40/40,373.76 = 8,448/x
  3. Step 3: Cross multiply
    26,918.40x = 40,373.76 × 8,448
  4. Step 4: Simplify right side
    26,918.40x = 341,077,524.48
  5. Step 5: Solve for x
    x = 341,077,524.48/26,918.40
  6. Step 6: Final answer
    x = 12,670.79

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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.