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Finding the Fourth Proportional to 20,926.32, 31,373.64 and 10,400.64

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Solution

The fourth proportional to 20,926.32, 31,373.64 and 10,400.64 is: 15,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,926.32 : 31,373.64 = 10,400.64 : x
  2. Step 2: Convert to fraction form
    20,926.32/31,373.64 = 10,400.64/x
  3. Step 3: Cross multiply
    20,926.32x = 31,373.64 × 10,400.64
  4. Step 4: Simplify right side
    20,926.32x = 326,305,935.13
  5. Step 5: Solve for x
    x = 326,305,935.13/20,926.32
  6. Step 6: Final answer
    x = 15,593.09

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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.