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Finding the Fourth Proportional to 16,334.50, 22,541.70 and 8,882.50

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Solution

The fourth proportional to 16,334.50, 22,541.70 and 8,882.50 is: 12,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.50 : 22,541.70 = 8,882.50 : x
  2. Step 2: Convert to fraction form
    16,334.50/22,541.70 = 8,882.50/x
  3. Step 3: Cross multiply
    16,334.50x = 22,541.70 × 8,882.50
  4. Step 4: Simplify right side
    16,334.50x = 200,226,650.25
  5. Step 5: Solve for x
    x = 200,226,650.25/16,334.50
  6. Step 6: Final answer
    x = 12,257.90

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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.