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Finding the Fourth Proportional to 14,992.39, 20,689.52 and 8,278.30

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Solution

The fourth proportional to 14,992.39, 20,689.52 and 8,278.30 is: 11,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.39 : 20,689.52 = 8,278.30 : x
  2. Step 2: Convert to fraction form
    14,992.39/20,689.52 = 8,278.30/x
  3. Step 3: Cross multiply
    14,992.39x = 20,689.52 × 8,278.30
  4. Step 4: Simplify right side
    14,992.39x = 171,274,053.42
  5. Step 5: Solve for x
    x = 171,274,053.42/14,992.39
  6. Step 6: Final answer
    x = 11,424.07

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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.