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Finding the Fourth Proportional to 26,177.76, 39,253.92 and 9,535.20

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Solution

The fourth proportional to 26,177.76, 39,253.92 and 9,535.20 is: 14,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,177.76 : 39,253.92 = 9,535.20 : x
  2. Step 2: Convert to fraction form
    26,177.76/39,253.92 = 9,535.20/x
  3. Step 3: Cross multiply
    26,177.76x = 39,253.92 × 9,535.20
  4. Step 4: Simplify right side
    26,177.76x = 374,293,977.98
  5. Step 5: Solve for x
    x = 374,293,977.98/26,177.76
  6. Step 6: Final answer
    x = 14,298.17

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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.