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Finding the Fourth Proportional to 16,067.80, 24,101.70 and 10,430.20

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Solution

The fourth proportional to 16,067.80, 24,101.70 and 10,430.20 is: 15,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.80 : 24,101.70 = 10,430.20 : x
  2. Step 2: Convert to fraction form
    16,067.80/24,101.70 = 10,430.20/x
  3. Step 3: Cross multiply
    16,067.80x = 24,101.70 × 10,430.20
  4. Step 4: Simplify right side
    16,067.80x = 251,385,551.34
  5. Step 5: Solve for x
    x = 251,385,551.34/16,067.80
  6. Step 6: Final answer
    x = 15,645.30

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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.