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Finding the Fourth Proportional to 19,262.70, 28,894.14 and 8,166.60

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Solution

The fourth proportional to 19,262.70, 28,894.14 and 8,166.60 is: 12,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,262.70 : 28,894.14 = 8,166.60 : x
  2. Step 2: Convert to fraction form
    19,262.70/28,894.14 = 8,166.60/x
  3. Step 3: Cross multiply
    19,262.70x = 28,894.14 × 8,166.60
  4. Step 4: Simplify right side
    19,262.70x = 235,966,883.72
  5. Step 5: Solve for x
    x = 235,966,883.72/19,262.70
  6. Step 6: Final answer
    x = 12,249.94

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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.