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Finding the Fourth Proportional to 22,770.71, 34,135.23 and 7,971.56

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Solution

The fourth proportional to 22,770.71, 34,135.23 and 7,971.56 is: 11,950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.71 : 34,135.23 = 7,971.56 : x
  2. Step 2: Convert to fraction form
    22,770.71/34,135.23 = 7,971.56/x
  3. Step 3: Cross multiply
    22,770.71x = 34,135.23 × 7,971.56
  4. Step 4: Simplify right side
    22,770.71x = 272,111,034.06
  5. Step 5: Solve for x
    x = 272,111,034.06/22,770.71
  6. Step 6: Final answer
    x = 11,950.05

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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.