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Finding the Fourth Proportional to 15,648.45, 21,524.80 and 13,724.80

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Solution

The fourth proportional to 15,648.45, 21,524.80 and 13,724.80 is: 18,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.45 : 21,524.80 = 13,724.80 : x
  2. Step 2: Convert to fraction form
    15,648.45/21,524.80 = 13,724.80/x
  3. Step 3: Cross multiply
    15,648.45x = 21,524.80 × 13,724.80
  4. Step 4: Simplify right side
    15,648.45x = 295,423,575.04
  5. Step 5: Solve for x
    x = 295,423,575.04/15,648.45
  6. Step 6: Final answer
    x = 18,878.78

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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.