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Finding the Fourth Proportional to 24,644.25, 34,009.07 and 13,466.25

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Solution

The fourth proportional to 24,644.25, 34,009.07 and 13,466.25 is: 18,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.25 : 34,009.07 = 13,466.25 : x
  2. Step 2: Convert to fraction form
    24,644.25/34,009.07 = 13,466.25/x
  3. Step 3: Cross multiply
    24,644.25x = 34,009.07 × 13,466.25
  4. Step 4: Simplify right side
    24,644.25x = 457,974,571.56
  5. Step 5: Solve for x
    x = 457,974,571.56/24,644.25
  6. Step 6: Final answer
    x = 18,583.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.