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Finding the Fourth Proportional to 15,096.65, 22,634.03 and 7,604.82

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Solution

The fourth proportional to 15,096.65, 22,634.03 and 7,604.82 is: 11,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.65 : 22,634.03 = 7,604.82 : x
  2. Step 2: Convert to fraction form
    15,096.65/22,634.03 = 7,604.82/x
  3. Step 3: Cross multiply
    15,096.65x = 22,634.03 × 7,604.82
  4. Step 4: Simplify right side
    15,096.65x = 172,127,743.04
  5. Step 5: Solve for x
    x = 172,127,743.04/15,096.65
  6. Step 6: Final answer
    x = 11,401.72

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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.