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Finding the Fourth Proportional to 12,434.99, 18,659.63 and 6,591.58

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Solution

The fourth proportional to 12,434.99, 18,659.63 and 6,591.58 is: 9,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.99 : 18,659.63 = 6,591.58 : x
  2. Step 2: Convert to fraction form
    12,434.99/18,659.63 = 6,591.58/x
  3. Step 3: Cross multiply
    12,434.99x = 18,659.63 × 6,591.58
  4. Step 4: Simplify right side
    12,434.99x = 122,996,413.75
  5. Step 5: Solve for x
    x = 122,996,413.75/12,434.99
  6. Step 6: Final answer
    x = 9,891.16

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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.