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Finding the Fourth Proportional to 22,494.24, 31,045.68 and 14,001.39

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Solution

The fourth proportional to 22,494.24, 31,045.68 and 14,001.39 is: 19,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.24 : 31,045.68 = 14,001.39 : x
  2. Step 2: Convert to fraction form
    22,494.24/31,045.68 = 14,001.39/x
  3. Step 3: Cross multiply
    22,494.24x = 31,045.68 × 14,001.39
  4. Step 4: Simplify right side
    22,494.24x = 434,682,673.50
  5. Step 5: Solve for x
    x = 434,682,673.50/22,494.24
  6. Step 6: Final answer
    x = 19,324.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.