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Finding the Fourth Proportional to 22,300.60, 30,775.02 and 12,869.08

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Solution

The fourth proportional to 22,300.60, 30,775.02 and 12,869.08 is: 17,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.60 : 30,775.02 = 12,869.08 : x
  2. Step 2: Convert to fraction form
    22,300.60/30,775.02 = 12,869.08/x
  3. Step 3: Cross multiply
    22,300.60x = 30,775.02 × 12,869.08
  4. Step 4: Simplify right side
    22,300.60x = 396,046,194.38
  5. Step 5: Solve for x
    x = 396,046,194.38/22,300.60
  6. Step 6: Final answer
    x = 17,759.44

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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.