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Finding the Fourth Proportional to 15,997.28, 22,076.32 and 8,924

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Solution

The fourth proportional to 15,997.28, 22,076.32 and 8,924 is: 12,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.28 : 22,076.32 = 8,924 : x
  2. Step 2: Convert to fraction form
    15,997.28/22,076.32 = 8,924/x
  3. Step 3: Cross multiply
    15,997.28x = 22,076.32 × 8,924
  4. Step 4: Simplify right side
    15,997.28x = 197,009,079.68
  5. Step 5: Solve for x
    x = 197,009,079.68/15,997.28
  6. Step 6: Final answer
    x = 12,315.16

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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.