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Finding the Fourth Proportional to 13,180.77, 19,772.17 and 3,820.93

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Solution

The fourth proportional to 13,180.77, 19,772.17 and 3,820.93 is: 5,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.77 : 19,772.17 = 3,820.93 : x
  2. Step 2: Convert to fraction form
    13,180.77/19,772.17 = 3,820.93/x
  3. Step 3: Cross multiply
    13,180.77x = 19,772.17 × 3,820.93
  4. Step 4: Simplify right side
    13,180.77x = 75,548,018.54
  5. Step 5: Solve for x
    x = 75,548,018.54/13,180.77
  6. Step 6: Final answer
    x = 5,731.68

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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.