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Finding the Fourth Proportional to 26,894.40, 40,341.88 and 8,177.48

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Solution

The fourth proportional to 26,894.40, 40,341.88 and 8,177.48 is: 12,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,894.40 : 40,341.88 = 8,177.48 : x
  2. Step 2: Convert to fraction form
    26,894.40/40,341.88 = 8,177.48/x
  3. Step 3: Cross multiply
    26,894.40x = 40,341.88 × 8,177.48
  4. Step 4: Simplify right side
    26,894.40x = 329,894,922.42
  5. Step 5: Solve for x
    x = 329,894,922.42/26,894.40
  6. Step 6: Final answer
    x = 12,266.31

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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.