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Finding the Fourth Proportional to 22,907.97, 31,612.34 and 13,349.97

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Solution

The fourth proportional to 22,907.97, 31,612.34 and 13,349.97 is: 18,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,907.97 : 31,612.34 = 13,349.97 : x
  2. Step 2: Convert to fraction form
    22,907.97/31,612.34 = 13,349.97/x
  3. Step 3: Cross multiply
    22,907.97x = 31,612.34 × 13,349.97
  4. Step 4: Simplify right side
    22,907.97x = 422,023,790.63
  5. Step 5: Solve for x
    x = 422,023,790.63/22,907.97
  6. Step 6: Final answer
    x = 18,422.57

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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.