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Finding the Fourth Proportional to 19,265.34, 28,898.02 and 5,414.34

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Solution

The fourth proportional to 19,265.34, 28,898.02 and 5,414.34 is: 8,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,265.34 : 28,898.02 = 5,414.34 : x
  2. Step 2: Convert to fraction form
    19,265.34/28,898.02 = 5,414.34/x
  3. Step 3: Cross multiply
    19,265.34x = 28,898.02 × 5,414.34
  4. Step 4: Simplify right side
    19,265.34x = 156,463,790.29
  5. Step 5: Solve for x
    x = 156,463,790.29/19,265.34
  6. Step 6: Final answer
    x = 8,121.52

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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.