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Finding the Fourth Proportional to 24,122.40, 33,289.05 and 13,512

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Solution

The fourth proportional to 24,122.40, 33,289.05 and 13,512 is: 18,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122.40 : 33,289.05 = 13,512 : x
  2. Step 2: Convert to fraction form
    24,122.40/33,289.05 = 13,512/x
  3. Step 3: Cross multiply
    24,122.40x = 33,289.05 × 13,512
  4. Step 4: Simplify right side
    24,122.40x = 449,801,643.60
  5. Step 5: Solve for x
    x = 449,801,643.60/24,122.40
  6. Step 6: Final answer
    x = 18,646.64

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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.