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Finding the Fourth Proportional to 16,241.84, 24,363.65 and 5,147.73

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Solution

The fourth proportional to 16,241.84, 24,363.65 and 5,147.73 is: 7,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.84 : 24,363.65 = 5,147.73 : x
  2. Step 2: Convert to fraction form
    16,241.84/24,363.65 = 5,147.73/x
  3. Step 3: Cross multiply
    16,241.84x = 24,363.65 × 5,147.73
  4. Step 4: Simplify right side
    16,241.84x = 125,417,492.01
  5. Step 5: Solve for x
    x = 125,417,492.01/16,241.84
  6. Step 6: Final answer
    x = 7,721.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.