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Finding the Fourth Proportional to 17,746.80, 24,499.80 and 12,793.20

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Solution

The fourth proportional to 17,746.80, 24,499.80 and 12,793.20 is: 17,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746.80 : 24,499.80 = 12,793.20 : x
  2. Step 2: Convert to fraction form
    17,746.80/24,499.80 = 12,793.20/x
  3. Step 3: Cross multiply
    17,746.80x = 24,499.80 × 12,793.20
  4. Step 4: Simplify right side
    17,746.80x = 313,430,841.36
  5. Step 5: Solve for x
    x = 313,430,841.36/17,746.80
  6. Step 6: Final answer
    x = 17,661.26

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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.