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Finding the Fourth Proportional to 12,987.36, 19,487.52 and 5,201.64

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Solution

The fourth proportional to 12,987.36, 19,487.52 and 5,201.64 is: 7,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.36 : 19,487.52 = 5,201.64 : x
  2. Step 2: Convert to fraction form
    12,987.36/19,487.52 = 5,201.64/x
  3. Step 3: Cross multiply
    12,987.36x = 19,487.52 × 5,201.64
  4. Step 4: Simplify right side
    12,987.36x = 101,367,063.53
  5. Step 5: Solve for x
    x = 101,367,063.53/12,987.36
  6. Step 6: Final answer
    x = 7,805.06

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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.