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Finding the Fourth Proportional to 22,676.19, 34,045.14 and 15,638.82

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Solution

The fourth proportional to 22,676.19, 34,045.14 and 15,638.82 is: 23,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.19 : 34,045.14 = 15,638.82 : x
  2. Step 2: Convert to fraction form
    22,676.19/34,045.14 = 15,638.82/x
  3. Step 3: Cross multiply
    22,676.19x = 34,045.14 × 15,638.82
  4. Step 4: Simplify right side
    22,676.19x = 532,425,816.33
  5. Step 5: Solve for x
    x = 532,425,816.33/22,676.19
  6. Step 6: Final answer
    x = 23,479.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.