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Finding the Fourth Proportional to 15,841.70, 21,862.24 and 8,768.12

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Solution

The fourth proportional to 15,841.70, 21,862.24 and 8,768.12 is: 12,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.70 : 21,862.24 = 8,768.12 : x
  2. Step 2: Convert to fraction form
    15,841.70/21,862.24 = 8,768.12/x
  3. Step 3: Cross multiply
    15,841.70x = 21,862.24 × 8,768.12
  4. Step 4: Simplify right side
    15,841.70x = 191,690,699.95
  5. Step 5: Solve for x
    x = 191,690,699.95/15,841.70
  6. Step 6: Final answer
    x = 12,100.39

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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.