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Finding the Fourth Proportional to 15,882, 23,820.64 and 4,196.04

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Solution

The fourth proportional to 15,882, 23,820.64 and 4,196.04 is: 6,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882 : 23,820.64 = 4,196.04 : x
  2. Step 2: Convert to fraction form
    15,882/23,820.64 = 4,196.04/x
  3. Step 3: Cross multiply
    15,882x = 23,820.64 × 4,196.04
  4. Step 4: Simplify right side
    15,882x = 99,952,358.27
  5. Step 5: Solve for x
    x = 99,952,358.27/15,882
  6. Step 6: Final answer
    x = 6,293.44

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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.