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Finding the Fourth Proportional to 12,563.44, 17,337.12 and 7,257.76

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Solution

The fourth proportional to 12,563.44, 17,337.12 and 7,257.76 is: 10,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.44 : 17,337.12 = 7,257.76 : x
  2. Step 2: Convert to fraction form
    12,563.44/17,337.12 = 7,257.76/x
  3. Step 3: Cross multiply
    12,563.44x = 17,337.12 × 7,257.76
  4. Step 4: Simplify right side
    12,563.44x = 125,828,656.05
  5. Step 5: Solve for x
    x = 125,828,656.05/12,563.44
  6. Step 6: Final answer
    x = 10,015.46

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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.