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Finding the Fourth Proportional to 13,496.72, 20,238.58 and 7,651.76

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Solution

The fourth proportional to 13,496.72, 20,238.58 and 7,651.76 is: 11,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.72 : 20,238.58 = 7,651.76 : x
  2. Step 2: Convert to fraction form
    13,496.72/20,238.58 = 7,651.76/x
  3. Step 3: Cross multiply
    13,496.72x = 20,238.58 × 7,651.76
  4. Step 4: Simplify right side
    13,496.72x = 154,860,756.90
  5. Step 5: Solve for x
    x = 154,860,756.90/13,496.72
  6. Step 6: Final answer
    x = 11,473.95

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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.