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Finding the Fourth Proportional to 19,951.52, 29,946.11 and 10,097.87

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Solution

The fourth proportional to 19,951.52, 29,946.11 and 10,097.87 is: 15,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,951.52 : 29,946.11 = 10,097.87 : x
  2. Step 2: Convert to fraction form
    19,951.52/29,946.11 = 10,097.87/x
  3. Step 3: Cross multiply
    19,951.52x = 29,946.11 × 10,097.87
  4. Step 4: Simplify right side
    19,951.52x = 302,391,725.57
  5. Step 5: Solve for x
    x = 302,391,725.57/19,951.52
  6. Step 6: Final answer
    x = 15,156.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.