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Finding the Fourth Proportional to 16,581.65, 22,882.68 and 9,129.65

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Solution

The fourth proportional to 16,581.65, 22,882.68 and 9,129.65 is: 12,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.65 : 22,882.68 = 9,129.65 : x
  2. Step 2: Convert to fraction form
    16,581.65/22,882.68 = 9,129.65/x
  3. Step 3: Cross multiply
    16,581.65x = 22,882.68 × 9,129.65
  4. Step 4: Simplify right side
    16,581.65x = 208,910,745.05
  5. Step 5: Solve for x
    x = 208,910,745.05/16,581.65
  6. Step 6: Final answer
    x = 12,598.92

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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.