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Finding the Fourth Proportional to 13,575.25, 18,734.93 and 7,987.33

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Solution

The fourth proportional to 13,575.25, 18,734.93 and 7,987.33 is: 11,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.25 : 18,734.93 = 7,987.33 : x
  2. Step 2: Convert to fraction form
    13,575.25/18,734.93 = 7,987.33/x
  3. Step 3: Cross multiply
    13,575.25x = 18,734.93 × 7,987.33
  4. Step 4: Simplify right side
    13,575.25x = 149,642,068.44
  5. Step 5: Solve for x
    x = 149,642,068.44/13,575.25
  6. Step 6: Final answer
    x = 11,023.15

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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.