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Finding the Fourth Proportional to 21,158.70, 31,719.42 and 8,020.32

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Solution

The fourth proportional to 21,158.70, 31,719.42 and 8,020.32 is: 12,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.70 : 31,719.42 = 8,020.32 : x
  2. Step 2: Convert to fraction form
    21,158.70/31,719.42 = 8,020.32/x
  3. Step 3: Cross multiply
    21,158.70x = 31,719.42 × 8,020.32
  4. Step 4: Simplify right side
    21,158.70x = 254,399,898.61
  5. Step 5: Solve for x
    x = 254,399,898.61/21,158.70
  6. Step 6: Final answer
    x = 12,023.42

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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.