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Finding the Fourth Proportional to 23,323.81, 34,991.18 and 9,284.69

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Solution

The fourth proportional to 23,323.81, 34,991.18 and 9,284.69 is: 13,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,323.81 : 34,991.18 = 9,284.69 : x
  2. Step 2: Convert to fraction form
    23,323.81/34,991.18 = 9,284.69/x
  3. Step 3: Cross multiply
    23,323.81x = 34,991.18 × 9,284.69
  4. Step 4: Simplify right side
    23,323.81x = 324,882,334.91
  5. Step 5: Solve for x
    x = 324,882,334.91/23,323.81
  6. Step 6: Final answer
    x = 13,929.22

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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.