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Finding the Fourth Proportional to 13,544.16, 20,312.64 and 11,353.92

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Solution

The fourth proportional to 13,544.16, 20,312.64 and 11,353.92 is: 17,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.16 : 20,312.64 = 11,353.92 : x
  2. Step 2: Convert to fraction form
    13,544.16/20,312.64 = 11,353.92/x
  3. Step 3: Cross multiply
    13,544.16x = 20,312.64 × 11,353.92
  4. Step 4: Simplify right side
    13,544.16x = 230,628,089.55
  5. Step 5: Solve for x
    x = 230,628,089.55/13,544.16
  6. Step 6: Final answer
    x = 17,027.86

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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.