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Finding the Fourth Proportional to 26,938.40, 40,403.76 and 8,468

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Solution

The fourth proportional to 26,938.40, 40,403.76 and 8,468 is: 12,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,938.40 : 40,403.76 = 8,468 : x
  2. Step 2: Convert to fraction form
    26,938.40/40,403.76 = 8,468/x
  3. Step 3: Cross multiply
    26,938.40x = 40,403.76 × 8,468
  4. Step 4: Simplify right side
    26,938.40x = 342,139,039.68
  5. Step 5: Solve for x
    x = 342,139,039.68/26,938.40
  6. Step 6: Final answer
    x = 12,700.79

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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.