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Finding the Fourth Proportional to 15,677.75, 21,636.45 and 8,963.66

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Solution

The fourth proportional to 15,677.75, 21,636.45 and 8,963.66 is: 12,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.75 : 21,636.45 = 8,963.66 : x
  2. Step 2: Convert to fraction form
    15,677.75/21,636.45 = 8,963.66/x
  3. Step 3: Cross multiply
    15,677.75x = 21,636.45 × 8,963.66
  4. Step 4: Simplify right side
    15,677.75x = 193,941,673.22
  5. Step 5: Solve for x
    x = 193,941,673.22/15,677.75
  6. Step 6: Final answer
    x = 12,370.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.