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Finding the Fourth Proportional to 23,405.71, 35,107.19 and 6,765.37

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Solution

The fourth proportional to 23,405.71, 35,107.19 and 6,765.37 is: 10,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.71 : 35,107.19 = 6,765.37 : x
  2. Step 2: Convert to fraction form
    23,405.71/35,107.19 = 6,765.37/x
  3. Step 3: Cross multiply
    23,405.71x = 35,107.19 × 6,765.37
  4. Step 4: Simplify right side
    23,405.71x = 237,513,130.01
  5. Step 5: Solve for x
    x = 237,513,130.01/23,405.71
  6. Step 6: Final answer
    x = 10,147.66

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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.