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Finding the Fourth Proportional to 13,100.40, 19,666.62 and 8,661.90

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Solution

The fourth proportional to 13,100.40, 19,666.62 and 8,661.90 is: 13,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.40 : 19,666.62 = 8,661.90 : x
  2. Step 2: Convert to fraction form
    13,100.40/19,666.62 = 8,661.90/x
  3. Step 3: Cross multiply
    13,100.40x = 19,666.62 × 8,661.90
  4. Step 4: Simplify right side
    13,100.40x = 170,350,295.78
  5. Step 5: Solve for x
    x = 170,350,295.78/13,100.40
  6. Step 6: Final answer
    x = 13,003.44

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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.