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Finding the Fourth Proportional to 13,685.62, 18,885.78 and 7,717.24

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Solution

The fourth proportional to 13,685.62, 18,885.78 and 7,717.24 is: 10,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.62 : 18,885.78 = 7,717.24 : x
  2. Step 2: Convert to fraction form
    13,685.62/18,885.78 = 7,717.24/x
  3. Step 3: Cross multiply
    13,685.62x = 18,885.78 × 7,717.24
  4. Step 4: Simplify right side
    13,685.62x = 145,746,096.85
  5. Step 5: Solve for x
    x = 145,746,096.85/13,685.62
  6. Step 6: Final answer
    x = 10,649.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.