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Finding the Fourth Proportional to 15,867, 23,803.74 and 6,633

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Solution

The fourth proportional to 15,867, 23,803.74 and 6,633 is: 9,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867 : 23,803.74 = 6,633 : x
  2. Step 2: Convert to fraction form
    15,867/23,803.74 = 6,633/x
  3. Step 3: Cross multiply
    15,867x = 23,803.74 × 6,633
  4. Step 4: Simplify right side
    15,867x = 157,890,207.42
  5. Step 5: Solve for x
    x = 157,890,207.42/15,867
  6. Step 6: Final answer
    x = 9,950.85

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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.