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Finding the Fourth Proportional to 13,254.96, 19,881.81 and 3,894.60

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Solution

The fourth proportional to 13,254.96, 19,881.81 and 3,894.60 is: 5,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.96 : 19,881.81 = 3,894.60 : x
  2. Step 2: Convert to fraction form
    13,254.96/19,881.81 = 3,894.60/x
  3. Step 3: Cross multiply
    13,254.96x = 19,881.81 × 3,894.60
  4. Step 4: Simplify right side
    13,254.96x = 77,431,697.23
  5. Step 5: Solve for x
    x = 77,431,697.23/13,254.96
  6. Step 6: Final answer
    x = 5,841.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.