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Finding the Fourth Proportional to 22,634.73, 31,235.63 and 12,563.15

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Solution

The fourth proportional to 22,634.73, 31,235.63 and 12,563.15 is: 17,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.73 : 31,235.63 = 12,563.15 : x
  2. Step 2: Convert to fraction form
    22,634.73/31,235.63 = 12,563.15/x
  3. Step 3: Cross multiply
    22,634.73x = 31,235.63 × 12,563.15
  4. Step 4: Simplify right side
    22,634.73x = 392,417,686.04
  5. Step 5: Solve for x
    x = 392,417,686.04/22,634.73
  6. Step 6: Final answer
    x = 17,336.97

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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.