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Finding the Fourth Proportional to 19,902.30, 29,817.45 and 9,491.10

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Solution

The fourth proportional to 19,902.30, 29,817.45 and 9,491.10 is: 14,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.30 : 29,817.45 = 9,491.10 : x
  2. Step 2: Convert to fraction form
    19,902.30/29,817.45 = 9,491.10/x
  3. Step 3: Cross multiply
    19,902.30x = 29,817.45 × 9,491.10
  4. Step 4: Simplify right side
    19,902.30x = 283,000,399.70
  5. Step 5: Solve for x
    x = 283,000,399.70/19,902.30
  6. Step 6: Final answer
    x = 14,219.48

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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.