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Finding the Fourth Proportional to 14,296.38, 19,725.57 and 10,942.98

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Solution

The fourth proportional to 14,296.38, 19,725.57 and 10,942.98 is: 15,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.38 : 19,725.57 = 10,942.98 : x
  2. Step 2: Convert to fraction form
    14,296.38/19,725.57 = 10,942.98/x
  3. Step 3: Cross multiply
    14,296.38x = 19,725.57 × 10,942.98
  4. Step 4: Simplify right side
    14,296.38x = 215,856,518.00
  5. Step 5: Solve for x
    x = 215,856,518.00/14,296.38
  6. Step 6: Final answer
    x = 15,098.68

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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.