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Finding the Fourth Proportional to 12,529.68, 18,722.64 and 9,551.76

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Solution

The fourth proportional to 12,529.68, 18,722.64 and 9,551.76 is: 14,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.68 : 18,722.64 = 9,551.76 : x
  2. Step 2: Convert to fraction form
    12,529.68/18,722.64 = 9,551.76/x
  3. Step 3: Cross multiply
    12,529.68x = 18,722.64 × 9,551.76
  4. Step 4: Simplify right side
    12,529.68x = 178,834,163.85
  5. Step 5: Solve for x
    x = 178,834,163.85/12,529.68
  6. Step 6: Final answer
    x = 14,272.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.