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Finding the Fourth Proportional to 13,524, 20,277.80 and 6,118.26

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Solution

The fourth proportional to 13,524, 20,277.80 and 6,118.26 is: 9,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524 : 20,277.80 = 6,118.26 : x
  2. Step 2: Convert to fraction form
    13,524/20,277.80 = 6,118.26/x
  3. Step 3: Cross multiply
    13,524x = 20,277.80 × 6,118.26
  4. Step 4: Simplify right side
    13,524x = 124,064,822.04
  5. Step 5: Solve for x
    x = 124,064,822.04/13,524
  6. Step 6: Final answer
    x = 9,173.68

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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.