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Finding the Fourth Proportional to 15,966.76, 22,033.92 and 8,893.12

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Solution

The fourth proportional to 15,966.76, 22,033.92 and 8,893.12 is: 12,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.76 : 22,033.92 = 8,893.12 : x
  2. Step 2: Convert to fraction form
    15,966.76/22,033.92 = 8,893.12/x
  3. Step 3: Cross multiply
    15,966.76x = 22,033.92 × 8,893.12
  4. Step 4: Simplify right side
    15,966.76x = 195,950,294.63
  5. Step 5: Solve for x
    x = 195,950,294.63/15,966.76
  6. Step 6: Final answer
    x = 12,272.39

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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.