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Finding the Fourth Proportional to 16,141.62, 24,216.75 and 9,220.98

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Solution

The fourth proportional to 16,141.62, 24,216.75 and 9,220.98 is: 13,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.62 : 24,216.75 = 9,220.98 : x
  2. Step 2: Convert to fraction form
    16,141.62/24,216.75 = 9,220.98/x
  3. Step 3: Cross multiply
    16,141.62x = 24,216.75 × 9,220.98
  4. Step 4: Simplify right side
    16,141.62x = 223,302,167.42
  5. Step 5: Solve for x
    x = 223,302,167.42/16,141.62
  6. Step 6: Final answer
    x = 13,833.94

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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.