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Finding the Fourth Proportional to 13,518.64, 20,282.30 and 6,499.16

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Solution

The fourth proportional to 13,518.64, 20,282.30 and 6,499.16 is: 9,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.64 : 20,282.30 = 6,499.16 : x
  2. Step 2: Convert to fraction form
    13,518.64/20,282.30 = 6,499.16/x
  3. Step 3: Cross multiply
    13,518.64x = 20,282.30 × 6,499.16
  4. Step 4: Simplify right side
    13,518.64x = 131,817,912.87
  5. Step 5: Solve for x
    x = 131,817,912.87/13,518.64
  6. Step 6: Final answer
    x = 9,750.83

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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.