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Finding the Fourth Proportional to 22,378.83, 30,882.79 and 12,307.95

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Solution

The fourth proportional to 22,378.83, 30,882.79 and 12,307.95 is: 16,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.83 : 30,882.79 = 12,307.95 : x
  2. Step 2: Convert to fraction form
    22,378.83/30,882.79 = 12,307.95/x
  3. Step 3: Cross multiply
    22,378.83x = 30,882.79 × 12,307.95
  4. Step 4: Simplify right side
    22,378.83x = 380,103,850.57
  5. Step 5: Solve for x
    x = 380,103,850.57/22,378.83
  6. Step 6: Final answer
    x = 16,984.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.