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Finding the Fourth Proportional to 22,302.68, 33,457.26 and 11,908.76

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Solution

The fourth proportional to 22,302.68, 33,457.26 and 11,908.76 is: 17,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.68 : 33,457.26 = 11,908.76 : x
  2. Step 2: Convert to fraction form
    22,302.68/33,457.26 = 11,908.76/x
  3. Step 3: Cross multiply
    22,302.68x = 33,457.26 × 11,908.76
  4. Step 4: Simplify right side
    22,302.68x = 398,434,312.31
  5. Step 5: Solve for x
    x = 398,434,312.31/22,302.68
  6. Step 6: Final answer
    x = 17,864.87

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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.