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Finding the Fourth Proportional to 13,785, 20,662.88 and 6,767.16

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Solution

The fourth proportional to 13,785, 20,662.88 and 6,767.16 is: 10,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785 : 20,662.88 = 6,767.16 : x
  2. Step 2: Convert to fraction form
    13,785/20,662.88 = 6,767.16/x
  3. Step 3: Cross multiply
    13,785x = 20,662.88 × 6,767.16
  4. Step 4: Simplify right side
    13,785x = 139,829,015.02
  5. Step 5: Solve for x
    x = 139,829,015.02/13,785
  6. Step 6: Final answer
    x = 10,143.56

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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.