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Finding the Fourth Proportional to 23,046.50, 34,572.18 and 10,564.40

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Solution

The fourth proportional to 23,046.50, 34,572.18 and 10,564.40 is: 15,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.50 : 34,572.18 = 10,564.40 : x
  2. Step 2: Convert to fraction form
    23,046.50/34,572.18 = 10,564.40/x
  3. Step 3: Cross multiply
    23,046.50x = 34,572.18 × 10,564.40
  4. Step 4: Simplify right side
    23,046.50x = 365,234,338.39
  5. Step 5: Solve for x
    x = 365,234,338.39/23,046.50
  6. Step 6: Final answer
    x = 15,847.71

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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.