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Finding the Fourth Proportional to 26,854.32, 40,278.37 and 7,134.46

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Solution

The fourth proportional to 26,854.32, 40,278.37 and 7,134.46 is: 10,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,854.32 : 40,278.37 = 7,134.46 : x
  2. Step 2: Convert to fraction form
    26,854.32/40,278.37 = 7,134.46/x
  3. Step 3: Cross multiply
    26,854.32x = 40,278.37 × 7,134.46
  4. Step 4: Simplify right side
    26,854.32x = 287,364,419.63
  5. Step 5: Solve for x
    x = 287,364,419.63/26,854.32
  6. Step 6: Final answer
    x = 10,700.86

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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.