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Finding the Fourth Proportional to 27,342.70, 40,997.88 and 10,683.43

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Solution

The fourth proportional to 27,342.70, 40,997.88 and 10,683.43 is: 16,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342.70 : 40,997.88 = 10,683.43 : x
  2. Step 2: Convert to fraction form
    27,342.70/40,997.88 = 10,683.43/x
  3. Step 3: Cross multiply
    27,342.70x = 40,997.88 × 10,683.43
  4. Step 4: Simplify right side
    27,342.70x = 437,997,878.63
  5. Step 5: Solve for x
    x = 437,997,878.63/27,342.70
  6. Step 6: Final answer
    x = 16,018.82

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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.