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Finding the Fourth Proportional to 12,987.26, 19,468.63 and 6,319.54

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Solution

The fourth proportional to 12,987.26, 19,468.63 and 6,319.54 is: 9,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.26 : 19,468.63 = 6,319.54 : x
  2. Step 2: Convert to fraction form
    12,987.26/19,468.63 = 6,319.54/x
  3. Step 3: Cross multiply
    12,987.26x = 19,468.63 × 6,319.54
  4. Step 4: Simplify right side
    12,987.26x = 123,032,786.03
  5. Step 5: Solve for x
    x = 123,032,786.03/12,987.26
  6. Step 6: Final answer
    x = 9,473.34

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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.