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Finding the Fourth Proportional to 12,331.98, 18,497.97 and 10,478.70

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Solution

The fourth proportional to 12,331.98, 18,497.97 and 10,478.70 is: 15,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.98 : 18,497.97 = 10,478.70 : x
  2. Step 2: Convert to fraction form
    12,331.98/18,497.97 = 10,478.70/x
  3. Step 3: Cross multiply
    12,331.98x = 18,497.97 × 10,478.70
  4. Step 4: Simplify right side
    12,331.98x = 193,834,678.24
  5. Step 5: Solve for x
    x = 193,834,678.24/12,331.98
  6. Step 6: Final answer
    x = 15,718.05

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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.