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Finding the Fourth Proportional to 13,760.84, 20,641.26 and 3,372.50

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Solution

The fourth proportional to 13,760.84, 20,641.26 and 3,372.50 is: 5,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.84 : 20,641.26 = 3,372.50 : x
  2. Step 2: Convert to fraction form
    13,760.84/20,641.26 = 3,372.50/x
  3. Step 3: Cross multiply
    13,760.84x = 20,641.26 × 3,372.50
  4. Step 4: Simplify right side
    13,760.84x = 69,612,649.35
  5. Step 5: Solve for x
    x = 69,612,649.35/13,760.84
  6. Step 6: Final answer
    x = 5,058.75

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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.