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Finding the Fourth Proportional to 15,664.15, 21,616.08 and 8,949.64

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Solution

The fourth proportional to 15,664.15, 21,616.08 and 8,949.64 is: 12,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664.15 : 21,616.08 = 8,949.64 : x
  2. Step 2: Convert to fraction form
    15,664.15/21,616.08 = 8,949.64/x
  3. Step 3: Cross multiply
    15,664.15x = 21,616.08 × 8,949.64
  4. Step 4: Simplify right side
    15,664.15x = 193,456,137.48
  5. Step 5: Solve for x
    x = 193,456,137.48/15,664.15
  6. Step 6: Final answer
    x = 12,350.25

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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.