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Finding the Fourth Proportional to 15,266.50, 21,067.77 and 8,642.50

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Solution

The fourth proportional to 15,266.50, 21,067.77 and 8,642.50 is: 11,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266.50 : 21,067.77 = 8,642.50 : x
  2. Step 2: Convert to fraction form
    15,266.50/21,067.77 = 8,642.50/x
  3. Step 3: Cross multiply
    15,266.50x = 21,067.77 × 8,642.50
  4. Step 4: Simplify right side
    15,266.50x = 182,078,202.23
  5. Step 5: Solve for x
    x = 182,078,202.23/15,266.50
  6. Step 6: Final answer
    x = 11,926.65

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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.