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Finding the Fourth Proportional to 21,191.38, 31,774.76 and 8,036.57

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Solution

The fourth proportional to 21,191.38, 31,774.76 and 8,036.57 is: 12,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.38 : 31,774.76 = 8,036.57 : x
  2. Step 2: Convert to fraction form
    21,191.38/31,774.76 = 8,036.57/x
  3. Step 3: Cross multiply
    21,191.38x = 31,774.76 × 8,036.57
  4. Step 4: Simplify right side
    21,191.38x = 255,360,082.97
  5. Step 5: Solve for x
    x = 255,360,082.97/21,191.38
  6. Step 6: Final answer
    x = 12,050.19

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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.