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Finding the Fourth Proportional to 17,829.20, 26,743.80 and 10,830.80

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Solution

The fourth proportional to 17,829.20, 26,743.80 and 10,830.80 is: 16,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.20 : 26,743.80 = 10,830.80 : x
  2. Step 2: Convert to fraction form
    17,829.20/26,743.80 = 10,830.80/x
  3. Step 3: Cross multiply
    17,829.20x = 26,743.80 × 10,830.80
  4. Step 4: Simplify right side
    17,829.20x = 289,656,749.04
  5. Step 5: Solve for x
    x = 289,656,749.04/17,829.20
  6. Step 6: Final answer
    x = 16,246.20

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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.