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Finding the Fourth Proportional to 16,033.41, 24,052.88 and 7,151.90

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Solution

The fourth proportional to 16,033.41, 24,052.88 and 7,151.90 is: 10,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.41 : 24,052.88 = 7,151.90 : x
  2. Step 2: Convert to fraction form
    16,033.41/24,052.88 = 7,151.90/x
  3. Step 3: Cross multiply
    16,033.41x = 24,052.88 × 7,151.90
  4. Step 4: Simplify right side
    16,033.41x = 172,023,690.09
  5. Step 5: Solve for x
    x = 172,023,690.09/16,033.41
  6. Step 6: Final answer
    x = 10,729.08

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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.