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Finding the Fourth Proportional to 27,997.02, 42,010.11 and 12,411

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Solution

The fourth proportional to 27,997.02, 42,010.11 and 12,411 is: 18,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.02 : 42,010.11 = 12,411 : x
  2. Step 2: Convert to fraction form
    27,997.02/42,010.11 = 12,411/x
  3. Step 3: Cross multiply
    27,997.02x = 42,010.11 × 12,411
  4. Step 4: Simplify right side
    27,997.02x = 521,387,475.21
  5. Step 5: Solve for x
    x = 521,387,475.21/27,997.02
  6. Step 6: Final answer
    x = 18,622.96

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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.