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Finding the Fourth Proportional to 12,299.14, 16,976.59 and 8,320.17

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Solution

The fourth proportional to 12,299.14, 16,976.59 and 8,320.17 is: 11,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.14 : 16,976.59 = 8,320.17 : x
  2. Step 2: Convert to fraction form
    12,299.14/16,976.59 = 8,320.17/x
  3. Step 3: Cross multiply
    12,299.14x = 16,976.59 × 8,320.17
  4. Step 4: Simplify right side
    12,299.14x = 141,248,062.19
  5. Step 5: Solve for x
    x = 141,248,062.19/12,299.14
  6. Step 6: Final answer
    x = 11,484.38

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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.