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Finding the Fourth Proportional to 21,997.39, 32,987.82 and 9,516.46

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Solution

The fourth proportional to 21,997.39, 32,987.82 and 9,516.46 is: 14,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.39 : 32,987.82 = 9,516.46 : x
  2. Step 2: Convert to fraction form
    21,997.39/32,987.82 = 9,516.46/x
  3. Step 3: Cross multiply
    21,997.39x = 32,987.82 × 9,516.46
  4. Step 4: Simplify right side
    21,997.39x = 313,927,104.58
  5. Step 5: Solve for x
    x = 313,927,104.58/21,997.39
  6. Step 6: Final answer
    x = 14,271.11

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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.