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Finding the Fourth Proportional to 12,061.93, 18,096 and 4,664.47

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Solution

The fourth proportional to 12,061.93, 18,096 and 4,664.47 is: 6,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,061.93 : 18,096 = 4,664.47 : x
  2. Step 2: Convert to fraction form
    12,061.93/18,096 = 4,664.47/x
  3. Step 3: Cross multiply
    12,061.93x = 18,096 × 4,664.47
  4. Step 4: Simplify right side
    12,061.93x = 84,408,249.12
  5. Step 5: Solve for x
    x = 84,408,249.12/12,061.93
  6. Step 6: Final answer
    x = 6,997.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.