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Finding the Fourth Proportional to 13,773.78, 19,007.82 and 9,066.48

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Solution

The fourth proportional to 13,773.78, 19,007.82 and 9,066.48 is: 12,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.78 : 19,007.82 = 9,066.48 : x
  2. Step 2: Convert to fraction form
    13,773.78/19,007.82 = 9,066.48/x
  3. Step 3: Cross multiply
    13,773.78x = 19,007.82 × 9,066.48
  4. Step 4: Simplify right side
    13,773.78x = 172,334,019.87
  5. Step 5: Solve for x
    x = 172,334,019.87/13,773.78
  6. Step 6: Final answer
    x = 12,511.74

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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.