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Finding the Fourth Proportional to 15,642.27, 21,581.05 and 8,923.17

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Solution

The fourth proportional to 15,642.27, 21,581.05 and 8,923.17 is: 12,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.27 : 21,581.05 = 8,923.17 : x
  2. Step 2: Convert to fraction form
    15,642.27/21,581.05 = 8,923.17/x
  3. Step 3: Cross multiply
    15,642.27x = 21,581.05 × 8,923.17
  4. Step 4: Simplify right side
    15,642.27x = 192,571,400.24
  5. Step 5: Solve for x
    x = 192,571,400.24/15,642.27
  6. Step 6: Final answer
    x = 12,310.96

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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.