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Finding the Fourth Proportional to 20,974.32, 31,451.55 and 7,637.88

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Solution

The fourth proportional to 20,974.32, 31,451.55 and 7,637.88 is: 11,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.32 : 31,451.55 = 7,637.88 : x
  2. Step 2: Convert to fraction form
    20,974.32/31,451.55 = 7,637.88/x
  3. Step 3: Cross multiply
    20,974.32x = 31,451.55 × 7,637.88
  4. Step 4: Simplify right side
    20,974.32x = 240,223,164.71
  5. Step 5: Solve for x
    x = 240,223,164.71/20,974.32
  6. Step 6: Final answer
    x = 11,453.20

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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.