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Finding the Fourth Proportional to 22,634.64, 31,235.56 and 12,563.10

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Solution

The fourth proportional to 22,634.64, 31,235.56 and 12,563.10 is: 17,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.64 : 31,235.56 = 12,563.10 : x
  2. Step 2: Convert to fraction form
    22,634.64/31,235.56 = 12,563.10/x
  3. Step 3: Cross multiply
    22,634.64x = 31,235.56 × 12,563.10
  4. Step 4: Simplify right side
    22,634.64x = 392,415,432.43
  5. Step 5: Solve for x
    x = 392,415,432.43/22,634.64
  6. Step 6: Final answer
    x = 17,336.94

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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.