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Finding the Fourth Proportional to 12,331.68, 18,497.52 and 3,097.76

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Solution

The fourth proportional to 12,331.68, 18,497.52 and 3,097.76 is: 4,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.68 : 18,497.52 = 3,097.76 : x
  2. Step 2: Convert to fraction form
    12,331.68/18,497.52 = 3,097.76/x
  3. Step 3: Cross multiply
    12,331.68x = 18,497.52 × 3,097.76
  4. Step 4: Simplify right side
    12,331.68x = 57,300,877.56
  5. Step 5: Solve for x
    x = 57,300,877.56/12,331.68
  6. Step 6: Final answer
    x = 4,646.64

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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.