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Finding the Fourth Proportional to 22,488.98, 33,696.68 and 7,689.87

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Solution

The fourth proportional to 22,488.98, 33,696.68 and 7,689.87 is: 11,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,488.98 : 33,696.68 = 7,689.87 : x
  2. Step 2: Convert to fraction form
    22,488.98/33,696.68 = 7,689.87/x
  3. Step 3: Cross multiply
    22,488.98x = 33,696.68 × 7,689.87
  4. Step 4: Simplify right side
    22,488.98x = 259,123,050.18
  5. Step 5: Solve for x
    x = 259,123,050.18/22,488.98
  6. Step 6: Final answer
    x = 11,522.23

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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.