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Finding the Fourth Proportional to 22,505.52, 31,057.51 and 12,433.96

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Solution

The fourth proportional to 22,505.52, 31,057.51 and 12,433.96 is: 17,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.52 : 31,057.51 = 12,433.96 : x
  2. Step 2: Convert to fraction form
    22,505.52/31,057.51 = 12,433.96/x
  3. Step 3: Cross multiply
    22,505.52x = 31,057.51 × 12,433.96
  4. Step 4: Simplify right side
    22,505.52x = 386,167,837.04
  5. Step 5: Solve for x
    x = 386,167,837.04/22,505.52
  6. Step 6: Final answer
    x = 17,158.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.