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Finding the Fourth Proportional to 16,524, 22,822.56 and 11,209.59

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Solution

The fourth proportional to 16,524, 22,822.56 and 11,209.59 is: 15,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524 : 22,822.56 = 11,209.59 : x
  2. Step 2: Convert to fraction form
    16,524/22,822.56 = 11,209.59/x
  3. Step 3: Cross multiply
    16,524x = 22,822.56 × 11,209.59
  4. Step 4: Simplify right side
    16,524x = 255,831,540.35
  5. Step 5: Solve for x
    x = 255,831,540.35/16,524
  6. Step 6: Final answer
    x = 15,482.42

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