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Finding the Fourth Proportional to 23,614.14, 35,415.54 and 6,969.68

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Solution

The fourth proportional to 23,614.14, 35,415.54 and 6,969.68 is: 10,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.14 : 35,415.54 = 6,969.68 : x
  2. Step 2: Convert to fraction form
    23,614.14/35,415.54 = 6,969.68/x
  3. Step 3: Cross multiply
    23,614.14x = 35,415.54 × 6,969.68
  4. Step 4: Simplify right side
    23,614.14x = 246,834,980.83
  5. Step 5: Solve for x
    x = 246,834,980.83/23,614.14
  6. Step 6: Final answer
    x = 10,452.85

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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.