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Finding the Fourth Proportional to 23,448.87, 35,176.85 and 6,809.14

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Solution

The fourth proportional to 23,448.87, 35,176.85 and 6,809.14 is: 10,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.87 : 35,176.85 = 6,809.14 : x
  2. Step 2: Convert to fraction form
    23,448.87/35,176.85 = 6,809.14/x
  3. Step 3: Cross multiply
    23,448.87x = 35,176.85 × 6,809.14
  4. Step 4: Simplify right side
    23,448.87x = 239,524,096.41
  5. Step 5: Solve for x
    x = 239,524,096.41/23,448.87
  6. Step 6: Final answer
    x = 10,214.74

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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.