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Finding the Fourth Proportional to 16,049.10, 24,075.81 and 5,658.42

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Solution

The fourth proportional to 16,049.10, 24,075.81 and 5,658.42 is: 8,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.10 : 24,075.81 = 5,658.42 : x
  2. Step 2: Convert to fraction form
    16,049.10/24,075.81 = 5,658.42/x
  3. Step 3: Cross multiply
    16,049.10x = 24,075.81 × 5,658.42
  4. Step 4: Simplify right side
    16,049.10x = 136,231,044.82
  5. Step 5: Solve for x
    x = 136,231,044.82/16,049.10
  6. Step 6: Final answer
    x = 8,488.39

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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.