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Finding the Fourth Proportional to 16,067.40, 24,101.10 and 8,291.40

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Solution

The fourth proportional to 16,067.40, 24,101.10 and 8,291.40 is: 12,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.40 : 24,101.10 = 8,291.40 : x
  2. Step 2: Convert to fraction form
    16,067.40/24,101.10 = 8,291.40/x
  3. Step 3: Cross multiply
    16,067.40x = 24,101.10 × 8,291.40
  4. Step 4: Simplify right side
    16,067.40x = 199,831,860.54
  5. Step 5: Solve for x
    x = 199,831,860.54/16,067.40
  6. Step 6: Final answer
    x = 12,437.10

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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.