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Finding the Fourth Proportional to 26,458.68, 39,689.24 and 6,737.40

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Solution

The fourth proportional to 26,458.68, 39,689.24 and 6,737.40 is: 10,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,458.68 : 39,689.24 = 6,737.40 : x
  2. Step 2: Convert to fraction form
    26,458.68/39,689.24 = 6,737.40/x
  3. Step 3: Cross multiply
    26,458.68x = 39,689.24 × 6,737.40
  4. Step 4: Simplify right side
    26,458.68x = 267,402,251.89
  5. Step 5: Solve for x
    x = 267,402,251.89/26,458.68
  6. Step 6: Final answer
    x = 10,106.41

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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.