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Finding the Fourth Proportional to 23,180.36, 34,770.18 and 9,329

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Solution

The fourth proportional to 23,180.36, 34,770.18 and 9,329 is: 13,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,180.36 : 34,770.18 = 9,329 : x
  2. Step 2: Convert to fraction form
    23,180.36/34,770.18 = 9,329/x
  3. Step 3: Cross multiply
    23,180.36x = 34,770.18 × 9,329
  4. Step 4: Simplify right side
    23,180.36x = 324,371,009.22
  5. Step 5: Solve for x
    x = 324,371,009.22/23,180.36
  6. Step 6: Final answer
    x = 13,993.36

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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.