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Finding the Fourth Proportional to 14,469.12, 21,702.02 and 9,819

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Solution

The fourth proportional to 14,469.12, 21,702.02 and 9,819 is: 14,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.12 : 21,702.02 = 9,819 : x
  2. Step 2: Convert to fraction form
    14,469.12/21,702.02 = 9,819/x
  3. Step 3: Cross multiply
    14,469.12x = 21,702.02 × 9,819
  4. Step 4: Simplify right side
    14,469.12x = 213,092,134.38
  5. Step 5: Solve for x
    x = 213,092,134.38/14,469.12
  6. Step 6: Final answer
    x = 14,727.37

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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.