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Finding the Fourth Proportional to 13,458.52, 20,189.13 and 5,145.53

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Solution

The fourth proportional to 13,458.52, 20,189.13 and 5,145.53 is: 7,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.52 : 20,189.13 = 5,145.53 : x
  2. Step 2: Convert to fraction form
    13,458.52/20,189.13 = 5,145.53/x
  3. Step 3: Cross multiply
    13,458.52x = 20,189.13 × 5,145.53
  4. Step 4: Simplify right side
    13,458.52x = 103,883,748.36
  5. Step 5: Solve for x
    x = 103,883,748.36/13,458.52
  6. Step 6: Final answer
    x = 7,718.81

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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.