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Finding the Fourth Proportional to 26,677.71, 40,022.64 and 9,146.46

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Solution

The fourth proportional to 26,677.71, 40,022.64 and 9,146.46 is: 13,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,677.71 : 40,022.64 = 9,146.46 : x
  2. Step 2: Convert to fraction form
    26,677.71/40,022.64 = 9,146.46/x
  3. Step 3: Cross multiply
    26,677.71x = 40,022.64 × 9,146.46
  4. Step 4: Simplify right side
    26,677.71x = 366,065,475.85
  5. Step 5: Solve for x
    x = 366,065,475.85/26,677.71
  6. Step 6: Final answer
    x = 13,721.77

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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.