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Finding the Fourth Proportional to 22,412.31, 30,927.77 and 12,338.84

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Solution

The fourth proportional to 22,412.31, 30,927.77 and 12,338.84 is: 17,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.31 : 30,927.77 = 12,338.84 : x
  2. Step 2: Convert to fraction form
    22,412.31/30,927.77 = 12,338.84/x
  3. Step 3: Cross multiply
    22,412.31x = 30,927.77 × 12,338.84
  4. Step 4: Simplify right side
    22,412.31x = 381,612,706.58
  5. Step 5: Solve for x
    x = 381,612,706.58/22,412.31
  6. Step 6: Final answer
    x = 17,026.93

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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.