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Finding the Fourth Proportional to 15,221.42, 22,774.71 and 8,984.83

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Solution

The fourth proportional to 15,221.42, 22,774.71 and 8,984.83 is: 13,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.42 : 22,774.71 = 8,984.83 : x
  2. Step 2: Convert to fraction form
    15,221.42/22,774.71 = 8,984.83/x
  3. Step 3: Cross multiply
    15,221.42x = 22,774.71 × 8,984.83
  4. Step 4: Simplify right side
    15,221.42x = 204,626,897.65
  5. Step 5: Solve for x
    x = 204,626,897.65/15,221.42
  6. Step 6: Final answer
    x = 13,443.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.