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Finding the Fourth Proportional to 16,338.60, 24,493.08 and 5,943

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Solution

The fourth proportional to 16,338.60, 24,493.08 and 5,943 is: 8,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.60 : 24,493.08 = 5,943 : x
  2. Step 2: Convert to fraction form
    16,338.60/24,493.08 = 5,943/x
  3. Step 3: Cross multiply
    16,338.60x = 24,493.08 × 5,943
  4. Step 4: Simplify right side
    16,338.60x = 145,562,374.44
  5. Step 5: Solve for x
    x = 145,562,374.44/16,338.60
  6. Step 6: Final answer
    x = 8,909.11

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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.