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Finding the Fourth Proportional to 15,352.50, 23,034.42 and 7,566.78

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Solution

The fourth proportional to 15,352.50, 23,034.42 and 7,566.78 is: 11,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,352.50 : 23,034.42 = 7,566.78 : x
  2. Step 2: Convert to fraction form
    15,352.50/23,034.42 = 7,566.78/x
  3. Step 3: Cross multiply
    15,352.50x = 23,034.42 × 7,566.78
  4. Step 4: Simplify right side
    15,352.50x = 174,296,388.57
  5. Step 5: Solve for x
    x = 174,296,388.57/15,352.50
  6. Step 6: Final answer
    x = 11,352.96

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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.