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Finding the Fourth Proportional to 19,749.98, 29,624.97 and 7,909.13

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Solution

The fourth proportional to 19,749.98, 29,624.97 and 7,909.13 is: 11,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,749.98 : 29,624.97 = 7,909.13 : x
  2. Step 2: Convert to fraction form
    19,749.98/29,624.97 = 7,909.13/x
  3. Step 3: Cross multiply
    19,749.98x = 29,624.97 × 7,909.13
  4. Step 4: Simplify right side
    19,749.98x = 234,307,738.98
  5. Step 5: Solve for x
    x = 234,307,738.98/19,749.98
  6. Step 6: Final answer
    x = 11,863.70

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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.