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Finding the Fourth Proportional to 16,266, 24,380.17 and 7,482.48

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Solution

The fourth proportional to 16,266, 24,380.17 and 7,482.48 is: 11,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266 : 24,380.17 = 7,482.48 : x
  2. Step 2: Convert to fraction form
    16,266/24,380.17 = 7,482.48/x
  3. Step 3: Cross multiply
    16,266x = 24,380.17 × 7,482.48
  4. Step 4: Simplify right side
    16,266x = 182,424,134.42
  5. Step 5: Solve for x
    x = 182,424,134.42/16,266
  6. Step 6: Final answer
    x = 11,215.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.