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Finding the Fourth Proportional to 13,515.14, 20,263.19 and 6,014.54

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Solution

The fourth proportional to 13,515.14, 20,263.19 and 6,014.54 is: 9,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.14 : 20,263.19 = 6,014.54 : x
  2. Step 2: Convert to fraction form
    13,515.14/20,263.19 = 6,014.54/x
  3. Step 3: Cross multiply
    13,515.14x = 20,263.19 × 6,014.54
  4. Step 4: Simplify right side
    13,515.14x = 121,873,635.39
  5. Step 5: Solve for x
    x = 121,873,635.39/13,515.14
  6. Step 6: Final answer
    x = 9,017.57

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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.