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Finding the Fourth Proportional to 19,105.84, 28,651.47 and 7,416.32

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Solution

The fourth proportional to 19,105.84, 28,651.47 and 7,416.32 is: 11,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,105.84 : 28,651.47 = 7,416.32 : x
  2. Step 2: Convert to fraction form
    19,105.84/28,651.47 = 7,416.32/x
  3. Step 3: Cross multiply
    19,105.84x = 28,651.47 × 7,416.32
  4. Step 4: Simplify right side
    19,105.84x = 212,488,469.99
  5. Step 5: Solve for x
    x = 212,488,469.99/19,105.84
  6. Step 6: Final answer
    x = 11,121.65

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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.