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Finding the Fourth Proportional to 19,950, 27,531 and 11,567.04

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Solution

The fourth proportional to 19,950, 27,531 and 11,567.04 is: 15,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,950 : 27,531 = 11,567.04 : x
  2. Step 2: Convert to fraction form
    19,950/27,531 = 11,567.04/x
  3. Step 3: Cross multiply
    19,950x = 27,531 × 11,567.04
  4. Step 4: Simplify right side
    19,950x = 318,452,178.24
  5. Step 5: Solve for x
    x = 318,452,178.24/19,950
  6. Step 6: Final answer
    x = 15,962.52

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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.