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Finding the Fourth Proportional to 13,449, 20,176.74 and 4,215

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Solution

The fourth proportional to 13,449, 20,176.74 and 4,215 is: 6,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449 : 20,176.74 = 4,215 : x
  2. Step 2: Convert to fraction form
    13,449/20,176.74 = 4,215/x
  3. Step 3: Cross multiply
    13,449x = 20,176.74 × 4,215
  4. Step 4: Simplify right side
    13,449x = 85,044,959.10
  5. Step 5: Solve for x
    x = 85,044,959.10/13,449
  6. Step 6: Final answer
    x = 6,323.52

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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.