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Finding the Fourth Proportional to 13,026.29, 17,976.59 and 7,987.59

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Solution

The fourth proportional to 13,026.29, 17,976.59 and 7,987.59 is: 11,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.29 : 17,976.59 = 7,987.59 : x
  2. Step 2: Convert to fraction form
    13,026.29/17,976.59 = 7,987.59/x
  3. Step 3: Cross multiply
    13,026.29x = 17,976.59 × 7,987.59
  4. Step 4: Simplify right side
    13,026.29x = 143,589,575.59
  5. Step 5: Solve for x
    x = 143,589,575.59/13,026.29
  6. Step 6: Final answer
    x = 11,023.06

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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.