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Finding the Fourth Proportional to 23,226.66, 34,839.81 and 7,644.24

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Solution

The fourth proportional to 23,226.66, 34,839.81 and 7,644.24 is: 11,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.66 : 34,839.81 = 7,644.24 : x
  2. Step 2: Convert to fraction form
    23,226.66/34,839.81 = 7,644.24/x
  3. Step 3: Cross multiply
    23,226.66x = 34,839.81 × 7,644.24
  4. Step 4: Simplify right side
    23,226.66x = 266,323,869.19
  5. Step 5: Solve for x
    x = 266,323,869.19/23,226.66
  6. Step 6: Final answer
    x = 11,466.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.