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Finding the Fourth Proportional to 22,671.84, 31,287 and 12,600.12

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Solution

The fourth proportional to 22,671.84, 31,287 and 12,600.12 is: 17,388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.84 : 31,287 = 12,600.12 : x
  2. Step 2: Convert to fraction form
    22,671.84/31,287 = 12,600.12/x
  3. Step 3: Cross multiply
    22,671.84x = 31,287 × 12,600.12
  4. Step 4: Simplify right side
    22,671.84x = 394,219,954.44
  5. Step 5: Solve for x
    x = 394,219,954.44/22,671.84
  6. Step 6: Final answer
    x = 17,388.09

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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.