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Finding the Fourth Proportional to 22,296.95, 30,765.45 and 13,220.63

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Solution

The fourth proportional to 22,296.95, 30,765.45 and 13,220.63 is: 18,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.95 : 30,765.45 = 13,220.63 : x
  2. Step 2: Convert to fraction form
    22,296.95/30,765.45 = 13,220.63/x
  3. Step 3: Cross multiply
    22,296.95x = 30,765.45 × 13,220.63
  4. Step 4: Simplify right side
    22,296.95x = 406,738,444.28
  5. Step 5: Solve for x
    x = 406,738,444.28/22,296.95
  6. Step 6: Final answer
    x = 18,241.89

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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.