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Finding the Fourth Proportional to 23,564.67, 35,352.18 and 7,769.07

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Solution

The fourth proportional to 23,564.67, 35,352.18 and 7,769.07 is: 11,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.67 : 35,352.18 = 7,769.07 : x
  2. Step 2: Convert to fraction form
    23,564.67/35,352.18 = 7,769.07/x
  3. Step 3: Cross multiply
    23,564.67x = 35,352.18 × 7,769.07
  4. Step 4: Simplify right side
    23,564.67x = 274,653,561.07
  5. Step 5: Solve for x
    x = 274,653,561.07/23,564.67
  6. Step 6: Final answer
    x = 11,655.31

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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.