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Finding the Fourth Proportional to 16,228.68, 22,395.60 and 9,155.76

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Solution

The fourth proportional to 16,228.68, 22,395.60 and 9,155.76 is: 12,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.68 : 22,395.60 = 9,155.76 : x
  2. Step 2: Convert to fraction form
    16,228.68/22,395.60 = 9,155.76/x
  3. Step 3: Cross multiply
    16,228.68x = 22,395.60 × 9,155.76
  4. Step 4: Simplify right side
    16,228.68x = 205,048,738.66
  5. Step 5: Solve for x
    x = 205,048,738.66/16,228.68
  6. Step 6: Final answer
    x = 12,634.96

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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.