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Finding the Fourth Proportional to 16,587, 24,872.34 and 4,899

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Solution

The fourth proportional to 16,587, 24,872.34 and 4,899 is: 7,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587 : 24,872.34 = 4,899 : x
  2. Step 2: Convert to fraction form
    16,587/24,872.34 = 4,899/x
  3. Step 3: Cross multiply
    16,587x = 24,872.34 × 4,899
  4. Step 4: Simplify right side
    16,587x = 121,849,593.66
  5. Step 5: Solve for x
    x = 121,849,593.66/16,587
  6. Step 6: Final answer
    x = 7,346.09

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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.