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Finding the Fourth Proportional to 16,294.80, 24,471.90 and 9,733.80

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Solution

The fourth proportional to 16,294.80, 24,471.90 and 9,733.80 is: 14,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.80 : 24,471.90 = 9,733.80 : x
  2. Step 2: Convert to fraction form
    16,294.80/24,471.90 = 9,733.80/x
  3. Step 3: Cross multiply
    16,294.80x = 24,471.90 × 9,733.80
  4. Step 4: Simplify right side
    16,294.80x = 238,204,580.22
  5. Step 5: Solve for x
    x = 238,204,580.22/16,294.80
  6. Step 6: Final answer
    x = 14,618.44

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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.