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Finding the Fourth Proportional to 22,969.50, 34,467.21 and 10,657.50

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Solution

The fourth proportional to 22,969.50, 34,467.21 and 10,657.50 is: 15,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.50 : 34,467.21 = 10,657.50 : x
  2. Step 2: Convert to fraction form
    22,969.50/34,467.21 = 10,657.50/x
  3. Step 3: Cross multiply
    22,969.50x = 34,467.21 × 10,657.50
  4. Step 4: Simplify right side
    22,969.50x = 367,334,290.58
  5. Step 5: Solve for x
    x = 367,334,290.58/22,969.50
  6. Step 6: Final answer
    x = 15,992.26

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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.