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Finding the Fourth Proportional to 14,892.31, 22,331.90 and 6,997.07

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Solution

The fourth proportional to 14,892.31, 22,331.90 and 6,997.07 is: 10,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892.31 : 22,331.90 = 6,997.07 : x
  2. Step 2: Convert to fraction form
    14,892.31/22,331.90 = 6,997.07/x
  3. Step 3: Cross multiply
    14,892.31x = 22,331.90 × 6,997.07
  4. Step 4: Simplify right side
    14,892.31x = 156,257,785.72
  5. Step 5: Solve for x
    x = 156,257,785.72/14,892.31
  6. Step 6: Final answer
    x = 10,492.52

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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.