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Finding the Fourth Proportional to 16,333.84, 22,540.76 and 9,260.80

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Solution

The fourth proportional to 16,333.84, 22,540.76 and 9,260.80 is: 12,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.84 : 22,540.76 = 9,260.80 : x
  2. Step 2: Convert to fraction form
    16,333.84/22,540.76 = 9,260.80/x
  3. Step 3: Cross multiply
    16,333.84x = 22,540.76 × 9,260.80
  4. Step 4: Simplify right side
    16,333.84x = 208,745,470.21
  5. Step 5: Solve for x
    x = 208,745,470.21/16,333.84
  6. Step 6: Final answer
    x = 12,779.94

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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.