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Finding the Fourth Proportional to 16,089.09, 24,100.56 and 7,744.47

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Solution

The fourth proportional to 16,089.09, 24,100.56 and 7,744.47 is: 11,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.09 : 24,100.56 = 7,744.47 : x
  2. Step 2: Convert to fraction form
    16,089.09/24,100.56 = 7,744.47/x
  3. Step 3: Cross multiply
    16,089.09x = 24,100.56 × 7,744.47
  4. Step 4: Simplify right side
    16,089.09x = 186,646,063.90
  5. Step 5: Solve for x
    x = 186,646,063.90/16,089.09
  6. Step 6: Final answer
    x = 11,600.78

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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.