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Finding the Fourth Proportional to 22,415.76, 30,933.84 and 12,206.72

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Solution

The fourth proportional to 22,415.76, 30,933.84 and 12,206.72 is: 16,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.76 : 30,933.84 = 12,206.72 : x
  2. Step 2: Convert to fraction form
    22,415.76/30,933.84 = 12,206.72/x
  3. Step 3: Cross multiply
    22,415.76x = 30,933.84 × 12,206.72
  4. Step 4: Simplify right side
    22,415.76x = 377,600,723.40
  5. Step 5: Solve for x
    x = 377,600,723.40/22,415.76
  6. Step 6: Final answer
    x = 16,845.32

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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.