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Finding the Fourth Proportional to 12,663.90, 18,997.68 and 4,346.02

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Solution

The fourth proportional to 12,663.90, 18,997.68 and 4,346.02 is: 6,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.90 : 18,997.68 = 4,346.02 : x
  2. Step 2: Convert to fraction form
    12,663.90/18,997.68 = 4,346.02/x
  3. Step 3: Cross multiply
    12,663.90x = 18,997.68 × 4,346.02
  4. Step 4: Simplify right side
    12,663.90x = 82,564,297.23
  5. Step 5: Solve for x
    x = 82,564,297.23/12,663.90
  6. Step 6: Final answer
    x = 6,519.66

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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.