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Finding the Fourth Proportional to 15,160.83, 22,744.40 and 6,395.82

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Solution

The fourth proportional to 15,160.83, 22,744.40 and 6,395.82 is: 9,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160.83 : 22,744.40 = 6,395.82 : x
  2. Step 2: Convert to fraction form
    15,160.83/22,744.40 = 6,395.82/x
  3. Step 3: Cross multiply
    15,160.83x = 22,744.40 × 6,395.82
  4. Step 4: Simplify right side
    15,160.83x = 145,469,056.43
  5. Step 5: Solve for x
    x = 145,469,056.43/15,160.83
  6. Step 6: Final answer
    x = 9,595.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.