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Finding the Fourth Proportional to 12,597.39, 18,896.12 and 5,663.79

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Solution

The fourth proportional to 12,597.39, 18,896.12 and 5,663.79 is: 8,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.39 : 18,896.12 = 5,663.79 : x
  2. Step 2: Convert to fraction form
    12,597.39/18,896.12 = 5,663.79/x
  3. Step 3: Cross multiply
    12,597.39x = 18,896.12 × 5,663.79
  4. Step 4: Simplify right side
    12,597.39x = 107,023,627.18
  5. Step 5: Solve for x
    x = 107,023,627.18/12,597.39
  6. Step 6: Final answer
    x = 8,495.70

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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.