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Finding the Fourth Proportional to 23,615.67, 35,412.90 and 6,969.85

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Solution

The fourth proportional to 23,615.67, 35,412.90 and 6,969.85 is: 10,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.67 : 35,412.90 = 6,969.85 : x
  2. Step 2: Convert to fraction form
    23,615.67/35,412.90 = 6,969.85/x
  3. Step 3: Cross multiply
    23,615.67x = 35,412.90 × 6,969.85
  4. Step 4: Simplify right side
    23,615.67x = 246,822,601.07
  5. Step 5: Solve for x
    x = 246,822,601.07/23,615.67
  6. Step 6: Final answer
    x = 10,451.65

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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.