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Finding the Fourth Proportional to 16,458.80, 22,713.60 and 9,006.80

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Solution

The fourth proportional to 16,458.80, 22,713.60 and 9,006.80 is: 12,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.80 : 22,713.60 = 9,006.80 : x
  2. Step 2: Convert to fraction form
    16,458.80/22,713.60 = 9,006.80/x
  3. Step 3: Cross multiply
    16,458.80x = 22,713.60 × 9,006.80
  4. Step 4: Simplify right side
    16,458.80x = 204,576,852.48
  5. Step 5: Solve for x
    x = 204,576,852.48/16,458.80
  6. Step 6: Final answer
    x = 12,429.63

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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.