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Finding the Fourth Proportional to 12,900.86, 17,806.87 and 7,598.73

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Solution

The fourth proportional to 12,900.86, 17,806.87 and 7,598.73 is: 10,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.86 : 17,806.87 = 7,598.73 : x
  2. Step 2: Convert to fraction form
    12,900.86/17,806.87 = 7,598.73/x
  3. Step 3: Cross multiply
    12,900.86x = 17,806.87 × 7,598.73
  4. Step 4: Simplify right side
    12,900.86x = 135,309,597.28
  5. Step 5: Solve for x
    x = 135,309,597.28/12,900.86
  6. Step 6: Final answer
    x = 10,488.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.