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Finding the Fourth Proportional to 22,306.44, 30,803.67 and 14,362.44

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Solution

The fourth proportional to 22,306.44, 30,803.67 and 14,362.44 is: 19,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.44 : 30,803.67 = 14,362.44 : x
  2. Step 2: Convert to fraction form
    22,306.44/30,803.67 = 14,362.44/x
  3. Step 3: Cross multiply
    22,306.44x = 30,803.67 × 14,362.44
  4. Step 4: Simplify right side
    22,306.44x = 442,415,862.15
  5. Step 5: Solve for x
    x = 442,415,862.15/22,306.44
  6. Step 6: Final answer
    x = 19,833.55

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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.