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Finding the Fourth Proportional to 16,252.50, 22,428.48 and 8,800.50

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Solution

The fourth proportional to 16,252.50, 22,428.48 and 8,800.50 is: 12,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.50 : 22,428.48 = 8,800.50 : x
  2. Step 2: Convert to fraction form
    16,252.50/22,428.48 = 8,800.50/x
  3. Step 3: Cross multiply
    16,252.50x = 22,428.48 × 8,800.50
  4. Step 4: Simplify right side
    16,252.50x = 197,381,838.24
  5. Step 5: Solve for x
    x = 197,381,838.24/16,252.50
  6. Step 6: Final answer
    x = 12,144.71

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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.