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Finding the Fourth Proportional to 16,013.49, 24,035.72 and 7,699.24

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Solution

The fourth proportional to 16,013.49, 24,035.72 and 7,699.24 is: 11,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.49 : 24,035.72 = 7,699.24 : x
  2. Step 2: Convert to fraction form
    16,013.49/24,035.72 = 7,699.24/x
  3. Step 3: Cross multiply
    16,013.49x = 24,035.72 × 7,699.24
  4. Step 4: Simplify right side
    16,013.49x = 185,056,776.85
  5. Step 5: Solve for x
    x = 185,056,776.85/16,013.49
  6. Step 6: Final answer
    x = 11,556.31

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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.