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Finding the Fourth Proportional to 16,661.56, 24,985 and 6,266

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Solution

The fourth proportional to 16,661.56, 24,985 and 6,266 is: 9,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661.56 : 24,985 = 6,266 : x
  2. Step 2: Convert to fraction form
    16,661.56/24,985 = 6,266/x
  3. Step 3: Cross multiply
    16,661.56x = 24,985 × 6,266
  4. Step 4: Simplify right side
    16,661.56x = 156,556,010
  5. Step 5: Solve for x
    x = 156,556,010/16,661.56
  6. Step 6: Final answer
    x = 9,396.24

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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.