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Finding the Fourth Proportional to 21,736.58, 32,611.86 and 9,894.59

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Solution

The fourth proportional to 21,736.58, 32,611.86 and 9,894.59 is: 14,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,736.58 : 32,611.86 = 9,894.59 : x
  2. Step 2: Convert to fraction form
    21,736.58/32,611.86 = 9,894.59/x
  3. Step 3: Cross multiply
    21,736.58x = 32,611.86 × 9,894.59
  4. Step 4: Simplify right side
    21,736.58x = 322,680,820.78
  5. Step 5: Solve for x
    x = 322,680,820.78/21,736.58
  6. Step 6: Final answer
    x = 14,845.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.