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Finding the Fourth Proportional to 22,540.84, 31,096 and 14,585.68

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Solution

The fourth proportional to 22,540.84, 31,096 and 14,585.68 is: 20,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.84 : 31,096 = 14,585.68 : x
  2. Step 2: Convert to fraction form
    22,540.84/31,096 = 14,585.68/x
  3. Step 3: Cross multiply
    22,540.84x = 31,096 × 14,585.68
  4. Step 4: Simplify right side
    22,540.84x = 453,556,305.28
  5. Step 5: Solve for x
    x = 453,556,305.28/22,540.84
  6. Step 6: Final answer
    x = 20,121.54

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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.