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Finding the Fourth Proportional to 13,781.44, 19,018.29 and 7,493.82

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Solution

The fourth proportional to 13,781.44, 19,018.29 and 7,493.82 is: 10,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.44 : 19,018.29 = 7,493.82 : x
  2. Step 2: Convert to fraction form
    13,781.44/19,018.29 = 7,493.82/x
  3. Step 3: Cross multiply
    13,781.44x = 19,018.29 × 7,493.82
  4. Step 4: Simplify right side
    13,781.44x = 142,519,598.75
  5. Step 5: Solve for x
    x = 142,519,598.75/13,781.44
  6. Step 6: Final answer
    x = 10,341.41

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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.