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Finding the Fourth Proportional to 13,773.78, 19,007.40 and 7,486.14

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Solution

The fourth proportional to 13,773.78, 19,007.40 and 7,486.14 is: 10,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.78 : 19,007.40 = 7,486.14 : x
  2. Step 2: Convert to fraction form
    13,773.78/19,007.40 = 7,486.14/x
  3. Step 3: Cross multiply
    13,773.78x = 19,007.40 × 7,486.14
  4. Step 4: Simplify right side
    13,773.78x = 142,292,057.44
  5. Step 5: Solve for x
    x = 142,292,057.44/13,773.78
  6. Step 6: Final answer
    x = 10,330.65

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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.