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Finding the Fourth Proportional to 16,159.89, 24,239.53 and 11,396.49

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Solution

The fourth proportional to 16,159.89, 24,239.53 and 11,396.49 is: 17,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.89 : 24,239.53 = 11,396.49 : x
  2. Step 2: Convert to fraction form
    16,159.89/24,239.53 = 11,396.49/x
  3. Step 3: Cross multiply
    16,159.89x = 24,239.53 × 11,396.49
  4. Step 4: Simplify right side
    16,159.89x = 276,245,561.25
  5. Step 5: Solve for x
    x = 276,245,561.25/16,159.89
  6. Step 6: Final answer
    x = 17,094.52

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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.