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Finding the Fourth Proportional to 21,149.34, 31,724.37 and 8,007.90

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Solution

The fourth proportional to 21,149.34, 31,724.37 and 8,007.90 is: 12,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.34 : 31,724.37 = 8,007.90 : x
  2. Step 2: Convert to fraction form
    21,149.34/31,724.37 = 8,007.90/x
  3. Step 3: Cross multiply
    21,149.34x = 31,724.37 × 8,007.90
  4. Step 4: Simplify right side
    21,149.34x = 254,045,582.52
  5. Step 5: Solve for x
    x = 254,045,582.52/21,149.34
  6. Step 6: Final answer
    x = 12,011.99

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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.