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Finding the Fourth Proportional to 22,635.29, 31,235.25 and 12,563.75

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Solution

The fourth proportional to 22,635.29, 31,235.25 and 12,563.75 is: 17,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.29 : 31,235.25 = 12,563.75 : x
  2. Step 2: Convert to fraction form
    22,635.29/31,235.25 = 12,563.75/x
  3. Step 3: Cross multiply
    22,635.29x = 31,235.25 × 12,563.75
  4. Step 4: Simplify right side
    22,635.29x = 392,431,872.19
  5. Step 5: Solve for x
    x = 392,431,872.19/22,635.29
  6. Step 6: Final answer
    x = 17,337.17

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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.