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Finding the Fourth Proportional to 14,876, 20,529.12 and 8,252

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Solution

The fourth proportional to 14,876, 20,529.12 and 8,252 is: 11,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876 : 20,529.12 = 8,252 : x
  2. Step 2: Convert to fraction form
    14,876/20,529.12 = 8,252/x
  3. Step 3: Cross multiply
    14,876x = 20,529.12 × 8,252
  4. Step 4: Simplify right side
    14,876x = 169,406,298.24
  5. Step 5: Solve for x
    x = 169,406,298.24/14,876
  6. Step 6: Final answer
    x = 11,387.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.