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Finding the Fourth Proportional to 20,182.32, 30,247.08 and 9,655.80

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Solution

The fourth proportional to 20,182.32, 30,247.08 and 9,655.80 is: 14,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.32 : 30,247.08 = 9,655.80 : x
  2. Step 2: Convert to fraction form
    20,182.32/30,247.08 = 9,655.80/x
  3. Step 3: Cross multiply
    20,182.32x = 30,247.08 × 9,655.80
  4. Step 4: Simplify right side
    20,182.32x = 292,059,755.06
  5. Step 5: Solve for x
    x = 292,059,755.06/20,182.32
  6. Step 6: Final answer
    x = 14,471.07

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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.