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Finding the Fourth Proportional to 21,856.99, 30,167.42 and 13,897.66

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Solution

The fourth proportional to 21,856.99, 30,167.42 and 13,897.66 is: 19,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.99 : 30,167.42 = 13,897.66 : x
  2. Step 2: Convert to fraction form
    21,856.99/30,167.42 = 13,897.66/x
  3. Step 3: Cross multiply
    21,856.99x = 30,167.42 × 13,897.66
  4. Step 4: Simplify right side
    21,856.99x = 419,256,476.75
  5. Step 5: Solve for x
    x = 419,256,476.75/21,856.99
  6. Step 6: Final answer
    x = 19,181.80

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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.