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Finding the Fourth Proportional to 13,880.31, 20,810.73 and 5,114.10

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Solution

The fourth proportional to 13,880.31, 20,810.73 and 5,114.10 is: 7,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.31 : 20,810.73 = 5,114.10 : x
  2. Step 2: Convert to fraction form
    13,880.31/20,810.73 = 5,114.10/x
  3. Step 3: Cross multiply
    13,880.31x = 20,810.73 × 5,114.10
  4. Step 4: Simplify right side
    13,880.31x = 106,428,154.29
  5. Step 5: Solve for x
    x = 106,428,154.29/13,880.31
  6. Step 6: Final answer
    x = 7,667.56

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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.