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Finding the Fourth Proportional to 22,865.44, 34,297.80 and 7,282.84

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Solution

The fourth proportional to 22,865.44, 34,297.80 and 7,282.84 is: 10,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865.44 : 34,297.80 = 7,282.84 : x
  2. Step 2: Convert to fraction form
    22,865.44/34,297.80 = 7,282.84/x
  3. Step 3: Cross multiply
    22,865.44x = 34,297.80 × 7,282.84
  4. Step 4: Simplify right side
    22,865.44x = 249,785,389.75
  5. Step 5: Solve for x
    x = 249,785,389.75/22,865.44
  6. Step 6: Final answer
    x = 10,924.15

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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.