Home / 22,546.28-31,114.73-12,338

Finding the Fourth Proportional to 22,546.28, 31,114.73 and 12,338

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Solution

The fourth proportional to 22,546.28, 31,114.73 and 12,338 is: 17,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.28 : 31,114.73 = 12,338 : x
  2. Step 2: Convert to fraction form
    22,546.28/31,114.73 = 12,338/x
  3. Step 3: Cross multiply
    22,546.28x = 31,114.73 × 12,338
  4. Step 4: Simplify right side
    22,546.28x = 383,893,538.74
  5. Step 5: Solve for x
    x = 383,893,538.74/22,546.28
  6. Step 6: Final answer
    x = 17,026.91

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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.