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Finding the Fourth Proportional to 16,810.50, 23,198.49 and 9,739.20

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Solution

The fourth proportional to 16,810.50, 23,198.49 and 9,739.20 is: 13,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810.50 : 23,198.49 = 9,739.20 : x
  2. Step 2: Convert to fraction form
    16,810.50/23,198.49 = 9,739.20/x
  3. Step 3: Cross multiply
    16,810.50x = 23,198.49 × 9,739.20
  4. Step 4: Simplify right side
    16,810.50x = 225,934,733.81
  5. Step 5: Solve for x
    x = 225,934,733.81/16,810.50
  6. Step 6: Final answer
    x = 13,440.10

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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.