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Finding the Fourth Proportional to 18,354.48, 27,531.72 and 7,966

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Solution

The fourth proportional to 18,354.48, 27,531.72 and 7,966 is: 11,949

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,354.48 : 27,531.72 = 7,966 : x
  2. Step 2: Convert to fraction form
    18,354.48/27,531.72 = 7,966/x
  3. Step 3: Cross multiply
    18,354.48x = 27,531.72 × 7,966
  4. Step 4: Simplify right side
    18,354.48x = 219,317,681.52
  5. Step 5: Solve for x
    x = 219,317,681.52/18,354.48
  6. Step 6: Final answer
    x = 11,949

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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.