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Finding the Fourth Proportional to 21,471.87, 32,204.07 and 5,677.07

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Solution

The fourth proportional to 21,471.87, 32,204.07 and 5,677.07 is: 8,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.87 : 32,204.07 = 5,677.07 : x
  2. Step 2: Convert to fraction form
    21,471.87/32,204.07 = 5,677.07/x
  3. Step 3: Cross multiply
    21,471.87x = 32,204.07 × 5,677.07
  4. Step 4: Simplify right side
    21,471.87x = 182,824,598.65
  5. Step 5: Solve for x
    x = 182,824,598.65/21,471.87
  6. Step 6: Final answer
    x = 8,514.61

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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.