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Finding the Fourth Proportional to 22,563.50, 31,137.63 and 12,627.50

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Solution

The fourth proportional to 22,563.50, 31,137.63 and 12,627.50 is: 17,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.50 : 31,137.63 = 12,627.50 : x
  2. Step 2: Convert to fraction form
    22,563.50/31,137.63 = 12,627.50/x
  3. Step 3: Cross multiply
    22,563.50x = 31,137.63 × 12,627.50
  4. Step 4: Simplify right side
    22,563.50x = 393,190,422.83
  5. Step 5: Solve for x
    x = 393,190,422.83/22,563.50
  6. Step 6: Final answer
    x = 17,425.95

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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.