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Finding the Fourth Proportional to 13,102.92, 19,651.14 and 8,170.02

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Solution

The fourth proportional to 13,102.92, 19,651.14 and 8,170.02 is: 12,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.92 : 19,651.14 = 8,170.02 : x
  2. Step 2: Convert to fraction form
    13,102.92/19,651.14 = 8,170.02/x
  3. Step 3: Cross multiply
    13,102.92x = 19,651.14 × 8,170.02
  4. Step 4: Simplify right side
    13,102.92x = 160,550,206.82
  5. Step 5: Solve for x
    x = 160,550,206.82/13,102.92
  6. Step 6: Final answer
    x = 12,253.01

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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.