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Finding the Fourth Proportional to 22,563.96, 31,105.65 and 15,828.69

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Solution

The fourth proportional to 22,563.96, 31,105.65 and 15,828.69 is: 21,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.96 : 31,105.65 = 15,828.69 : x
  2. Step 2: Convert to fraction form
    22,563.96/31,105.65 = 15,828.69/x
  3. Step 3: Cross multiply
    22,563.96x = 31,105.65 × 15,828.69
  4. Step 4: Simplify right side
    22,563.96x = 492,361,691.10
  5. Step 5: Solve for x
    x = 492,361,691.10/22,563.96
  6. Step 6: Final answer
    x = 21,820.71

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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.