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Finding the Fourth Proportional to 19,105.83, 28,651.47 and 7,416.33

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Solution

The fourth proportional to 19,105.83, 28,651.47 and 7,416.33 is: 11,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,105.83 : 28,651.47 = 7,416.33 : x
  2. Step 2: Convert to fraction form
    19,105.83/28,651.47 = 7,416.33/x
  3. Step 3: Cross multiply
    19,105.83x = 28,651.47 × 7,416.33
  4. Step 4: Simplify right side
    19,105.83x = 212,488,756.51
  5. Step 5: Solve for x
    x = 212,488,756.51/19,105.83
  6. Step 6: Final answer
    x = 11,121.67

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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.