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Finding the Fourth Proportional to 23,614.13, 35,412.86 and 6,969.71

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Solution

The fourth proportional to 23,614.13, 35,412.86 and 6,969.71 is: 10,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.13 : 35,412.86 = 6,969.71 : x
  2. Step 2: Convert to fraction form
    23,614.13/35,412.86 = 6,969.71/x
  3. Step 3: Cross multiply
    23,614.13x = 35,412.86 × 6,969.71
  4. Step 4: Simplify right side
    23,614.13x = 246,817,152.56
  5. Step 5: Solve for x
    x = 246,817,152.56/23,614.13
  6. Step 6: Final answer
    x = 10,452.10

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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.