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Finding the Fourth Proportional to 15,202, 22,799.49 and 5,838.94

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Solution

The fourth proportional to 15,202, 22,799.49 and 5,838.94 is: 8,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202 : 22,799.49 = 5,838.94 : x
  2. Step 2: Convert to fraction form
    15,202/22,799.49 = 5,838.94/x
  3. Step 3: Cross multiply
    15,202x = 22,799.49 × 5,838.94
  4. Step 4: Simplify right side
    15,202x = 133,124,854.14
  5. Step 5: Solve for x
    x = 133,124,854.14/15,202
  6. Step 6: Final answer
    x = 8,757.06

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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.