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Finding the Fourth Proportional to 22,312.96, 33,457.92 and 9,162.88

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Solution

The fourth proportional to 22,312.96, 33,457.92 and 9,162.88 is: 13,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.96 : 33,457.92 = 9,162.88 : x
  2. Step 2: Convert to fraction form
    22,312.96/33,457.92 = 9,162.88/x
  3. Step 3: Cross multiply
    22,312.96x = 33,457.92 × 9,162.88
  4. Step 4: Simplify right side
    22,312.96x = 306,570,906.01
  5. Step 5: Solve for x
    x = 306,570,906.01/22,312.96
  6. Step 6: Final answer
    x = 13,739.59

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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.