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Finding the Fourth Proportional to 15,082.16, 20,813.50 and 8,367.86

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Solution

The fourth proportional to 15,082.16, 20,813.50 and 8,367.86 is: 11,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.16 : 20,813.50 = 8,367.86 : x
  2. Step 2: Convert to fraction form
    15,082.16/20,813.50 = 8,367.86/x
  3. Step 3: Cross multiply
    15,082.16x = 20,813.50 × 8,367.86
  4. Step 4: Simplify right side
    15,082.16x = 174,164,454.11
  5. Step 5: Solve for x
    x = 174,164,454.11/15,082.16
  6. Step 6: Final answer
    x = 11,547.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.