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Finding the Fourth Proportional to 19,229.80, 28,823.10 and 9,866.20

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Solution

The fourth proportional to 19,229.80, 28,823.10 and 9,866.20 is: 14,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229.80 : 28,823.10 = 9,866.20 : x
  2. Step 2: Convert to fraction form
    19,229.80/28,823.10 = 9,866.20/x
  3. Step 3: Cross multiply
    19,229.80x = 28,823.10 × 9,866.20
  4. Step 4: Simplify right side
    19,229.80x = 284,374,469.22
  5. Step 5: Solve for x
    x = 284,374,469.22/19,229.80
  6. Step 6: Final answer
    x = 14,788.22

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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.