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Finding the Fourth Proportional to 15,211.81, 22,819.53 and 5,849.65

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Solution

The fourth proportional to 15,211.81, 22,819.53 and 5,849.65 is: 8,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.81 : 22,819.53 = 5,849.65 : x
  2. Step 2: Convert to fraction form
    15,211.81/22,819.53 = 5,849.65/x
  3. Step 3: Cross multiply
    15,211.81x = 22,819.53 × 5,849.65
  4. Step 4: Simplify right side
    15,211.81x = 133,486,263.66
  5. Step 5: Solve for x
    x = 133,486,263.66/15,211.81
  6. Step 6: Final answer
    x = 8,775.17

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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.