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Finding the Fourth Proportional to 12,663.16, 18,997.70 and 3,897.88

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Solution

The fourth proportional to 12,663.16, 18,997.70 and 3,897.88 is: 5,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.16 : 18,997.70 = 3,897.88 : x
  2. Step 2: Convert to fraction form
    12,663.16/18,997.70 = 3,897.88/x
  3. Step 3: Cross multiply
    12,663.16x = 18,997.70 × 3,897.88
  4. Step 4: Simplify right side
    12,663.16x = 74,050,754.88
  5. Step 5: Solve for x
    x = 74,050,754.88/12,663.16
  6. Step 6: Final answer
    x = 5,847.73

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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.