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Finding the Fourth Proportional to 19,771.30, 29,642.97 and 9,230.16

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Solution

The fourth proportional to 19,771.30, 29,642.97 and 9,230.16 is: 13,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.30 : 29,642.97 = 9,230.16 : x
  2. Step 2: Convert to fraction form
    19,771.30/29,642.97 = 9,230.16/x
  3. Step 3: Cross multiply
    19,771.30x = 29,642.97 × 9,230.16
  4. Step 4: Simplify right side
    19,771.30x = 273,609,355.98
  5. Step 5: Solve for x
    x = 273,609,355.98/19,771.30
  6. Step 6: Final answer
    x = 13,838.72

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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.