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Finding the Fourth Proportional to 13,781.69, 19,018.94 and 7,813.22

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Solution

The fourth proportional to 13,781.69, 19,018.94 and 7,813.22 is: 10,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.69 : 19,018.94 = 7,813.22 : x
  2. Step 2: Convert to fraction form
    13,781.69/19,018.94 = 7,813.22/x
  3. Step 3: Cross multiply
    13,781.69x = 19,018.94 × 7,813.22
  4. Step 4: Simplify right side
    13,781.69x = 148,599,162.39
  5. Step 5: Solve for x
    x = 148,599,162.39/13,781.69
  6. Step 6: Final answer
    x = 10,782.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.