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Finding the Fourth Proportional to 16,377.34, 24,569.70 and 5,989

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Solution

The fourth proportional to 16,377.34, 24,569.70 and 5,989 is: 8,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.34 : 24,569.70 = 5,989 : x
  2. Step 2: Convert to fraction form
    16,377.34/24,569.70 = 5,989/x
  3. Step 3: Cross multiply
    16,377.34x = 24,569.70 × 5,989
  4. Step 4: Simplify right side
    16,377.34x = 147,147,933.30
  5. Step 5: Solve for x
    x = 147,147,933.30/16,377.34
  6. Step 6: Final answer
    x = 8,984.85

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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.