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Finding the Fourth Proportional to 16,045.92, 22,142.34 and 8,875.65

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Solution

The fourth proportional to 16,045.92, 22,142.34 and 8,875.65 is: 12,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.92 : 22,142.34 = 8,875.65 : x
  2. Step 2: Convert to fraction form
    16,045.92/22,142.34 = 8,875.65/x
  3. Step 3: Cross multiply
    16,045.92x = 22,142.34 × 8,875.65
  4. Step 4: Simplify right side
    16,045.92x = 196,527,660.02
  5. Step 5: Solve for x
    x = 196,527,660.02/16,045.92
  6. Step 6: Final answer
    x = 12,247.83

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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.