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Finding the Fourth Proportional to 22,854.70, 31,555.83 and 17,824.54

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Solution

The fourth proportional to 22,854.70, 31,555.83 and 17,824.54 is: 24,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.70 : 31,555.83 = 17,824.54 : x
  2. Step 2: Convert to fraction form
    22,854.70/31,555.83 = 17,824.54/x
  3. Step 3: Cross multiply
    22,854.70x = 31,555.83 × 17,824.54
  4. Step 4: Simplify right side
    22,854.70x = 562,468,154.07
  5. Step 5: Solve for x
    x = 562,468,154.07/22,854.70
  6. Step 6: Final answer
    x = 24,610.61

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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.