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Finding the Fourth Proportional to 13,509.54, 20,250.43 and 5,187.31

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Solution

The fourth proportional to 13,509.54, 20,250.43 and 5,187.31 is: 7,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.54 : 20,250.43 = 5,187.31 : x
  2. Step 2: Convert to fraction form
    13,509.54/20,250.43 = 5,187.31/x
  3. Step 3: Cross multiply
    13,509.54x = 20,250.43 × 5,187.31
  4. Step 4: Simplify right side
    13,509.54x = 105,045,258.04
  5. Step 5: Solve for x
    x = 105,045,258.04/13,509.54
  6. Step 6: Final answer
    x = 7,775.64

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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.