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Finding the Fourth Proportional to 15,940.22, 23,914.17 and 7,617.87

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Solution

The fourth proportional to 15,940.22, 23,914.17 and 7,617.87 is: 11,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,940.22 : 23,914.17 = 7,617.87 : x
  2. Step 2: Convert to fraction form
    15,940.22/23,914.17 = 7,617.87/x
  3. Step 3: Cross multiply
    15,940.22x = 23,914.17 × 7,617.87
  4. Step 4: Simplify right side
    15,940.22x = 182,175,038.22
  5. Step 5: Solve for x
    x = 182,175,038.22/15,940.22
  6. Step 6: Final answer
    x = 11,428.64

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Why These Related Problems?

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