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Finding the Fourth Proportional to 13,114.56, 19,671.30 and 3,253.62

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Solution

The fourth proportional to 13,114.56, 19,671.30 and 3,253.62 is: 4,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.56 : 19,671.30 = 3,253.62 : x
  2. Step 2: Convert to fraction form
    13,114.56/19,671.30 = 3,253.62/x
  3. Step 3: Cross multiply
    13,114.56x = 19,671.30 × 3,253.62
  4. Step 4: Simplify right side
    13,114.56x = 64,002,935.11
  5. Step 5: Solve for x
    x = 64,002,935.11/13,114.56
  6. Step 6: Final answer
    x = 4,880.30

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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.