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Finding the Fourth Proportional to 16,575.17, 22,873.86 and 9,021.65

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Solution

The fourth proportional to 16,575.17, 22,873.86 and 9,021.65 is: 12,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.17 : 22,873.86 = 9,021.65 : x
  2. Step 2: Convert to fraction form
    16,575.17/22,873.86 = 9,021.65/x
  3. Step 3: Cross multiply
    16,575.17x = 22,873.86 × 9,021.65
  4. Step 4: Simplify right side
    16,575.17x = 206,359,844.70
  5. Step 5: Solve for x
    x = 206,359,844.70/16,575.17
  6. Step 6: Final answer
    x = 12,449.94

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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.