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Finding the Fourth Proportional to 22,719.68, 31,352.23 and 12,648.34

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Solution

The fourth proportional to 22,719.68, 31,352.23 and 12,648.34 is: 17,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,719.68 : 31,352.23 = 12,648.34 : x
  2. Step 2: Convert to fraction form
    22,719.68/31,352.23 = 12,648.34/x
  3. Step 3: Cross multiply
    22,719.68x = 31,352.23 × 12,648.34
  4. Step 4: Simplify right side
    22,719.68x = 396,553,664.80
  5. Step 5: Solve for x
    x = 396,553,664.80/22,719.68
  6. Step 6: Final answer
    x = 17,454.19

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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.