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Finding the Fourth Proportional to 22,502.14, 31,052.83 and 12,431.27

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Solution

The fourth proportional to 22,502.14, 31,052.83 and 12,431.27 is: 17,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.14 : 31,052.83 = 12,431.27 : x
  2. Step 2: Convert to fraction form
    22,502.14/31,052.83 = 12,431.27/x
  3. Step 3: Cross multiply
    22,502.14x = 31,052.83 × 12,431.27
  4. Step 4: Simplify right side
    22,502.14x = 386,026,113.99
  5. Step 5: Solve for x
    x = 386,026,113.99/22,502.14
  6. Step 6: Final answer
    x = 17,155.08

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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.