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Finding the Fourth Proportional to 23,147.70, 34,716.14 and 6,509.33

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Solution

The fourth proportional to 23,147.70, 34,716.14 and 6,509.33 is: 9,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.70 : 34,716.14 = 6,509.33 : x
  2. Step 2: Convert to fraction form
    23,147.70/34,716.14 = 6,509.33/x
  3. Step 3: Cross multiply
    23,147.70x = 34,716.14 × 6,509.33
  4. Step 4: Simplify right side
    23,147.70x = 225,978,605.46
  5. Step 5: Solve for x
    x = 225,978,605.46/23,147.70
  6. Step 6: Final answer
    x = 9,762.46

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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.