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Finding the Fourth Proportional to 22,770.24, 34,160.22 and 7,980.06

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Solution

The fourth proportional to 22,770.24, 34,160.22 and 7,980.06 is: 11,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.24 : 34,160.22 = 7,980.06 : x
  2. Step 2: Convert to fraction form
    22,770.24/34,160.22 = 7,980.06/x
  3. Step 3: Cross multiply
    22,770.24x = 34,160.22 × 7,980.06
  4. Step 4: Simplify right side
    22,770.24x = 272,600,605.21
  5. Step 5: Solve for x
    x = 272,600,605.21/22,770.24
  6. Step 6: Final answer
    x = 11,971.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.