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Finding the Fourth Proportional to 14,949.38, 20,631.08 and 8,235

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Solution

The fourth proportional to 14,949.38, 20,631.08 and 8,235 is: 11,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949.38 : 20,631.08 = 8,235 : x
  2. Step 2: Convert to fraction form
    14,949.38/20,631.08 = 8,235/x
  3. Step 3: Cross multiply
    14,949.38x = 20,631.08 × 8,235
  4. Step 4: Simplify right side
    14,949.38x = 169,896,902.63
  5. Step 5: Solve for x
    x = 169,896,902.63/14,949.38
  6. Step 6: Final answer
    x = 11,364.82

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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.