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Finding the Fourth Proportional to 15,856.50, 21,882.66 and 8,782.95

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Solution

The fourth proportional to 15,856.50, 21,882.66 and 8,782.95 is: 12,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.50 : 21,882.66 = 8,782.95 : x
  2. Step 2: Convert to fraction form
    15,856.50/21,882.66 = 8,782.95/x
  3. Step 3: Cross multiply
    15,856.50x = 21,882.66 × 8,782.95
  4. Step 4: Simplify right side
    15,856.50x = 192,194,308.65
  5. Step 5: Solve for x
    x = 192,194,308.65/15,856.50
  6. Step 6: Final answer
    x = 12,120.85

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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.