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Finding the Fourth Proportional to 22,481.62, 31,024.24 and 12,410.40

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Solution

The fourth proportional to 22,481.62, 31,024.24 and 12,410.40 is: 17,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.62 : 31,024.24 = 12,410.40 : x
  2. Step 2: Convert to fraction form
    22,481.62/31,024.24 = 12,410.40/x
  3. Step 3: Cross multiply
    22,481.62x = 31,024.24 × 12,410.40
  4. Step 4: Simplify right side
    22,481.62x = 385,023,228.10
  5. Step 5: Solve for x
    x = 385,023,228.10/22,481.62
  6. Step 6: Final answer
    x = 17,126.13

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1.5x scale

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.