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Finding the Fourth Proportional to 15,131.50, 22,680.42 and 11,421.70

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Solution

The fourth proportional to 15,131.50, 22,680.42 and 11,421.70 is: 17,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.50 : 22,680.42 = 11,421.70 : x
  2. Step 2: Convert to fraction form
    15,131.50/22,680.42 = 11,421.70/x
  3. Step 3: Cross multiply
    15,131.50x = 22,680.42 × 11,421.70
  4. Step 4: Simplify right side
    15,131.50x = 259,048,953.11
  5. Step 5: Solve for x
    x = 259,048,953.11/15,131.50
  6. Step 6: Final answer
    x = 17,119.85

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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.