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Finding the Fourth Proportional to 16,201.98, 24,304.17 and 5,670.84

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Solution

The fourth proportional to 16,201.98, 24,304.17 and 5,670.84 is: 8,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.98 : 24,304.17 = 5,670.84 : x
  2. Step 2: Convert to fraction form
    16,201.98/24,304.17 = 5,670.84/x
  3. Step 3: Cross multiply
    16,201.98x = 24,304.17 × 5,670.84
  4. Step 4: Simplify right side
    16,201.98x = 137,825,059.40
  5. Step 5: Solve for x
    x = 137,825,059.40/16,201.98
  6. Step 6: Final answer
    x = 8,506.68

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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.