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Finding the Fourth Proportional to 20,607.68, 28,438.08 and 12,224

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Solution

The fourth proportional to 20,607.68, 28,438.08 and 12,224 is: 16,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,607.68 : 28,438.08 = 12,224 : x
  2. Step 2: Convert to fraction form
    20,607.68/28,438.08 = 12,224/x
  3. Step 3: Cross multiply
    20,607.68x = 28,438.08 × 12,224
  4. Step 4: Simplify right side
    20,607.68x = 347,627,089.92
  5. Step 5: Solve for x
    x = 347,627,089.92/20,607.68
  6. Step 6: Final answer
    x = 16,868.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.