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Finding the Fourth Proportional to 13,114.66, 19,671.72 and 3,253.83

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Solution

The fourth proportional to 13,114.66, 19,671.72 and 3,253.83 is: 4,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.66 : 19,671.72 = 3,253.83 : x
  2. Step 2: Convert to fraction form
    13,114.66/19,671.72 = 3,253.83/x
  3. Step 3: Cross multiply
    13,114.66x = 19,671.72 × 3,253.83
  4. Step 4: Simplify right side
    13,114.66x = 64,008,432.69
  5. Step 5: Solve for x
    x = 64,008,432.69/13,114.66
  6. Step 6: Final answer
    x = 4,880.68

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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.