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Finding the Fourth Proportional to 22,097.64, 33,123.42 and 8,959.08

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Solution

The fourth proportional to 22,097.64, 33,123.42 and 8,959.08 is: 13,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.64 : 33,123.42 = 8,959.08 : x
  2. Step 2: Convert to fraction form
    22,097.64/33,123.42 = 8,959.08/x
  3. Step 3: Cross multiply
    22,097.64x = 33,123.42 × 8,959.08
  4. Step 4: Simplify right side
    22,097.64x = 296,755,369.65
  5. Step 5: Solve for x
    x = 296,755,369.65/22,097.64
  6. Step 6: Final answer
    x = 13,429.28

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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.