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Finding the Fourth Proportional to 13,773.82, 19,007.78 and 7,486.20

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Solution

The fourth proportional to 13,773.82, 19,007.78 and 7,486.20 is: 10,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.82 : 19,007.78 = 7,486.20 : x
  2. Step 2: Convert to fraction form
    13,773.82/19,007.78 = 7,486.20/x
  3. Step 3: Cross multiply
    13,773.82x = 19,007.78 × 7,486.20
  4. Step 4: Simplify right side
    13,773.82x = 142,296,042.64
  5. Step 5: Solve for x
    x = 142,296,042.64/13,773.82
  6. Step 6: Final answer
    x = 10,330.91

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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.