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Finding the Fourth Proportional to 22,206.80, 30,645.72 and 13,259.54

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Solution

The fourth proportional to 22,206.80, 30,645.72 and 13,259.54 is: 18,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.80 : 30,645.72 = 13,259.54 : x
  2. Step 2: Convert to fraction form
    22,206.80/30,645.72 = 13,259.54/x
  3. Step 3: Cross multiply
    22,206.80x = 30,645.72 × 13,259.54
  4. Step 4: Simplify right side
    22,206.80x = 406,347,996.94
  5. Step 5: Solve for x
    x = 406,347,996.94/22,206.80
  6. Step 6: Final answer
    x = 18,298.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.