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Finding the Fourth Proportional to 22,688.58, 33,998.22 and 9,533.76

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Solution

The fourth proportional to 22,688.58, 33,998.22 and 9,533.76 is: 14,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,688.58 : 33,998.22 = 9,533.76 : x
  2. Step 2: Convert to fraction form
    22,688.58/33,998.22 = 9,533.76/x
  3. Step 3: Cross multiply
    22,688.58x = 33,998.22 × 9,533.76
  4. Step 4: Simplify right side
    22,688.58x = 324,130,869.91
  5. Step 5: Solve for x
    x = 324,130,869.91/22,688.58
  6. Step 6: Final answer
    x = 14,286.08

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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.