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Finding the Fourth Proportional to 22,431.32, 33,647.24 and 9,606.76

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Solution

The fourth proportional to 22,431.32, 33,647.24 and 9,606.76 is: 14,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.32 : 33,647.24 = 9,606.76 : x
  2. Step 2: Convert to fraction form
    22,431.32/33,647.24 = 9,606.76/x
  3. Step 3: Cross multiply
    22,431.32x = 33,647.24 × 9,606.76
  4. Step 4: Simplify right side
    22,431.32x = 323,240,899.24
  5. Step 5: Solve for x
    x = 323,240,899.24/22,431.32
  6. Step 6: Final answer
    x = 14,410.25

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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.