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Finding the Fourth Proportional to 12,560.96, 17,335.50 and 7,183.89

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Solution

The fourth proportional to 12,560.96, 17,335.50 and 7,183.89 is: 9,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.96 : 17,335.50 = 7,183.89 : x
  2. Step 2: Convert to fraction form
    12,560.96/17,335.50 = 7,183.89/x
  3. Step 3: Cross multiply
    12,560.96x = 17,335.50 × 7,183.89
  4. Step 4: Simplify right side
    12,560.96x = 124,536,289.18
  5. Step 5: Solve for x
    x = 124,536,289.18/12,560.96
  6. Step 6: Final answer
    x = 9,914.56

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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.