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Finding the Fourth Proportional to 22,471.10, 33,695.82 and 13,113.86

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Solution

The fourth proportional to 22,471.10, 33,695.82 and 13,113.86 is: 19,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.10 : 33,695.82 = 13,113.86 : x
  2. Step 2: Convert to fraction form
    22,471.10/33,695.82 = 13,113.86/x
  3. Step 3: Cross multiply
    22,471.10x = 33,695.82 × 13,113.86
  4. Step 4: Simplify right side
    22,471.10x = 441,882,266.07
  5. Step 5: Solve for x
    x = 441,882,266.07/22,471.10
  6. Step 6: Final answer
    x = 19,664.47

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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.