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Finding the Fourth Proportional to 20,724.63, 31,060.95 and 8,864.49

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Solution

The fourth proportional to 20,724.63, 31,060.95 and 8,864.49 is: 13,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724.63 : 31,060.95 = 8,864.49 : x
  2. Step 2: Convert to fraction form
    20,724.63/31,060.95 = 8,864.49/x
  3. Step 3: Cross multiply
    20,724.63x = 31,060.95 × 8,864.49
  4. Step 4: Simplify right side
    20,724.63x = 275,339,281.04
  5. Step 5: Solve for x
    x = 275,339,281.04/20,724.63
  6. Step 6: Final answer
    x = 13,285.61

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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.