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Finding the Fourth Proportional to 22,715.01, 31,373.05 and 15,149

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Solution

The fourth proportional to 22,715.01, 31,373.05 and 15,149 is: 20,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.01 : 31,373.05 = 15,149 : x
  2. Step 2: Convert to fraction form
    22,715.01/31,373.05 = 15,149/x
  3. Step 3: Cross multiply
    22,715.01x = 31,373.05 × 15,149
  4. Step 4: Simplify right side
    22,715.01x = 475,270,334.45
  5. Step 5: Solve for x
    x = 475,270,334.45/22,715.01
  6. Step 6: Final answer
    x = 20,923.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.