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Finding the Fourth Proportional to 14,446.38, 19,934.52 and 9,912.95

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Solution

The fourth proportional to 14,446.38, 19,934.52 and 9,912.95 is: 13,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.38 : 19,934.52 = 9,912.95 : x
  2. Step 2: Convert to fraction form
    14,446.38/19,934.52 = 9,912.95/x
  3. Step 3: Cross multiply
    14,446.38x = 19,934.52 × 9,912.95
  4. Step 4: Simplify right side
    14,446.38x = 197,609,907.80
  5. Step 5: Solve for x
    x = 197,609,907.80/14,446.38
  6. Step 6: Final answer
    x = 13,678.85

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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.