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Finding the Fourth Proportional to 22,307.40, 30,782.88 and 12,233.88

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Solution

The fourth proportional to 22,307.40, 30,782.88 and 12,233.88 is: 16,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.40 : 30,782.88 = 12,233.88 : x
  2. Step 2: Convert to fraction form
    22,307.40/30,782.88 = 12,233.88/x
  3. Step 3: Cross multiply
    22,307.40x = 30,782.88 × 12,233.88
  4. Step 4: Simplify right side
    22,307.40x = 376,594,059.97
  5. Step 5: Solve for x
    x = 376,594,059.97/22,307.40
  6. Step 6: Final answer
    x = 16,882.02

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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.