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Finding the Fourth Proportional to 14,439.92, 21,658.48 and 9,789.80

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Solution

The fourth proportional to 14,439.92, 21,658.48 and 9,789.80 is: 14,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,439.92 : 21,658.48 = 9,789.80 : x
  2. Step 2: Convert to fraction form
    14,439.92/21,658.48 = 9,789.80/x
  3. Step 3: Cross multiply
    14,439.92x = 21,658.48 × 9,789.80
  4. Step 4: Simplify right side
    14,439.92x = 212,032,187.50
  5. Step 5: Solve for x
    x = 212,032,187.50/14,439.92
  6. Step 6: Final answer
    x = 14,683.75

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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.