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Finding the Fourth Proportional to 12,881.52, 19,322.62 and 4,116.44

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Solution

The fourth proportional to 12,881.52, 19,322.62 and 4,116.44 is: 6,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.52 : 19,322.62 = 4,116.44 : x
  2. Step 2: Convert to fraction form
    12,881.52/19,322.62 = 4,116.44/x
  3. Step 3: Cross multiply
    12,881.52x = 19,322.62 × 4,116.44
  4. Step 4: Simplify right side
    12,881.52x = 79,540,405.87
  5. Step 5: Solve for x
    x = 79,540,405.87/12,881.52
  6. Step 6: Final answer
    x = 6,174.77

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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.