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Finding the Fourth Proportional to 15,117.66, 20,862.49 and 8,311.81

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Solution

The fourth proportional to 15,117.66, 20,862.49 and 8,311.81 is: 11,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.66 : 20,862.49 = 8,311.81 : x
  2. Step 2: Convert to fraction form
    15,117.66/20,862.49 = 8,311.81/x
  3. Step 3: Cross multiply
    15,117.66x = 20,862.49 × 8,311.81
  4. Step 4: Simplify right side
    15,117.66x = 173,404,952.72
  5. Step 5: Solve for x
    x = 173,404,952.72/15,117.66
  6. Step 6: Final answer
    x = 11,470.35

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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.