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Finding the Fourth Proportional to 13,671.76, 20,507.26 and 3,810.64

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Solution

The fourth proportional to 13,671.76, 20,507.26 and 3,810.64 is: 5,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.76 : 20,507.26 = 3,810.64 : x
  2. Step 2: Convert to fraction form
    13,671.76/20,507.26 = 3,810.64/x
  3. Step 3: Cross multiply
    13,671.76x = 20,507.26 × 3,810.64
  4. Step 4: Simplify right side
    13,671.76x = 78,145,785.25
  5. Step 5: Solve for x
    x = 78,145,785.25/13,671.76
  6. Step 6: Final answer
    x = 5,715.85

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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.