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Finding the Fourth Proportional to 13,677.17, 20,497.93 and 6,175.15

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Solution

The fourth proportional to 13,677.17, 20,497.93 and 6,175.15 is: 9,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.17 : 20,497.93 = 6,175.15 : x
  2. Step 2: Convert to fraction form
    13,677.17/20,497.93 = 6,175.15/x
  3. Step 3: Cross multiply
    13,677.17x = 20,497.93 × 6,175.15
  4. Step 4: Simplify right side
    13,677.17x = 126,577,792.44
  5. Step 5: Solve for x
    x = 126,577,792.44/13,677.17
  6. Step 6: Final answer
    x = 9,254.68

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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.