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Finding the Fourth Proportional to 20,036.61, 30,082.25 and 10,182.86

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Solution

The fourth proportional to 20,036.61, 30,082.25 and 10,182.86 is: 15,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,036.61 : 30,082.25 = 10,182.86 : x
  2. Step 2: Convert to fraction form
    20,036.61/30,082.25 = 10,182.86/x
  3. Step 3: Cross multiply
    20,036.61x = 30,082.25 × 10,182.86
  4. Step 4: Simplify right side
    20,036.61x = 306,323,328.09
  5. Step 5: Solve for x
    x = 306,323,328.09/20,036.61
  6. Step 6: Final answer
    x = 15,288.18

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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.