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Finding the Fourth Proportional to 22,610, 33,922.12 and 10,140.50

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Solution

The fourth proportional to 22,610, 33,922.12 and 10,140.50 is: 15,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610 : 33,922.12 = 10,140.50 : x
  2. Step 2: Convert to fraction form
    22,610/33,922.12 = 10,140.50/x
  3. Step 3: Cross multiply
    22,610x = 33,922.12 × 10,140.50
  4. Step 4: Simplify right side
    22,610x = 343,987,257.86
  5. Step 5: Solve for x
    x = 343,987,257.86/22,610
  6. Step 6: Final answer
    x = 15,213.94

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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.