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Finding the Fourth Proportional to 16,588, 24,882.09 and 4,276

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Solution

The fourth proportional to 16,588, 24,882.09 and 4,276 is: 6,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588 : 24,882.09 = 4,276 : x
  2. Step 2: Convert to fraction form
    16,588/24,882.09 = 4,276/x
  3. Step 3: Cross multiply
    16,588x = 24,882.09 × 4,276
  4. Step 4: Simplify right side
    16,588x = 106,395,816.84
  5. Step 5: Solve for x
    x = 106,395,816.84/16,588
  6. Step 6: Final answer
    x = 6,414.02

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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.