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Finding the Fourth Proportional to 16,824.86, 23,241.88 and 15,939.14

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Solution

The fourth proportional to 16,824.86, 23,241.88 and 15,939.14 is: 22,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.86 : 23,241.88 = 15,939.14 : x
  2. Step 2: Convert to fraction form
    16,824.86/23,241.88 = 15,939.14/x
  3. Step 3: Cross multiply
    16,824.86x = 23,241.88 × 15,939.14
  4. Step 4: Simplify right side
    16,824.86x = 370,455,579.18
  5. Step 5: Solve for x
    x = 370,455,579.18/16,824.86
  6. Step 6: Final answer
    x = 22,018.35

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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.