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Finding the Fourth Proportional to 21,895, 30,215.14 and 11,959

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Solution

The fourth proportional to 21,895, 30,215.14 and 11,959 is: 16,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895 : 30,215.14 = 11,959 : x
  2. Step 2: Convert to fraction form
    21,895/30,215.14 = 11,959/x
  3. Step 3: Cross multiply
    21,895x = 30,215.14 × 11,959
  4. Step 4: Simplify right side
    21,895x = 361,342,859.26
  5. Step 5: Solve for x
    x = 361,342,859.26/21,895
  6. Step 6: Final answer
    x = 16,503.44

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