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Finding the Fourth Proportional to 12,563.40, 17,334.84 and 7,256.80

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Solution

The fourth proportional to 12,563.40, 17,334.84 and 7,256.80 is: 10,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.40 : 17,334.84 = 7,256.80 : x
  2. Step 2: Convert to fraction form
    12,563.40/17,334.84 = 7,256.80/x
  3. Step 3: Cross multiply
    12,563.40x = 17,334.84 × 7,256.80
  4. Step 4: Simplify right side
    12,563.40x = 125,795,466.91
  5. Step 5: Solve for x
    x = 125,795,466.91/12,563.40
  6. Step 6: Final answer
    x = 10,012.85

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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.