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Finding the Fourth Proportional to 19,952.40, 27,532.44 and 11,568

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Solution

The fourth proportional to 19,952.40, 27,532.44 and 11,568 is: 15,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.40 : 27,532.44 = 11,568 : x
  2. Step 2: Convert to fraction form
    19,952.40/27,532.44 = 11,568/x
  3. Step 3: Cross multiply
    19,952.40x = 27,532.44 × 11,568
  4. Step 4: Simplify right side
    19,952.40x = 318,495,265.92
  5. Step 5: Solve for x
    x = 318,495,265.92/19,952.40
  6. Step 6: Final answer
    x = 15,962.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.