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Finding the Fourth Proportional to 21,634.86, 29,856.15 and 11,698.86

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Solution

The fourth proportional to 21,634.86, 29,856.15 and 11,698.86 is: 16,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.86 : 29,856.15 = 11,698.86 : x
  2. Step 2: Convert to fraction form
    21,634.86/29,856.15 = 11,698.86/x
  3. Step 3: Cross multiply
    21,634.86x = 29,856.15 × 11,698.86
  4. Step 4: Simplify right side
    21,634.86x = 349,282,918.99
  5. Step 5: Solve for x
    x = 349,282,918.99/21,634.86
  6. Step 6: Final answer
    x = 16,144.45

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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.