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Finding the Fourth Proportional to 26,320.56, 36,305.40 and 15,702

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Solution

The fourth proportional to 26,320.56, 36,305.40 and 15,702 is: 21,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,320.56 : 36,305.40 = 15,702 : x
  2. Step 2: Convert to fraction form
    26,320.56/36,305.40 = 15,702/x
  3. Step 3: Cross multiply
    26,320.56x = 36,305.40 × 15,702
  4. Step 4: Simplify right side
    26,320.56x = 570,067,390.80
  5. Step 5: Solve for x
    x = 570,067,390.80/26,320.56
  6. Step 6: Final answer
    x = 21,658.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.