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Finding the Fourth Proportional to 13,109.58, 18,089.19 and 7,519.50

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Solution

The fourth proportional to 13,109.58, 18,089.19 and 7,519.50 is: 10,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.58 : 18,089.19 = 7,519.50 : x
  2. Step 2: Convert to fraction form
    13,109.58/18,089.19 = 7,519.50/x
  3. Step 3: Cross multiply
    13,109.58x = 18,089.19 × 7,519.50
  4. Step 4: Simplify right side
    13,109.58x = 136,021,664.21
  5. Step 5: Solve for x
    x = 136,021,664.21/13,109.58
  6. Step 6: Final answer
    x = 10,375.75

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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.