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Finding the Fourth Proportional to 22,656.60, 33,998.22 and 9,507.96

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Solution

The fourth proportional to 22,656.60, 33,998.22 and 9,507.96 is: 14,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.60 : 33,998.22 = 9,507.96 : x
  2. Step 2: Convert to fraction form
    22,656.60/33,998.22 = 9,507.96/x
  3. Step 3: Cross multiply
    22,656.60x = 33,998.22 × 9,507.96
  4. Step 4: Simplify right side
    22,656.60x = 323,253,715.83
  5. Step 5: Solve for x
    x = 323,253,715.83/22,656.60
  6. Step 6: Final answer
    x = 14,267.53

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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.