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Finding the Fourth Proportional to 21,696.70, 32,557.20 and 9,214.60

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Solution

The fourth proportional to 21,696.70, 32,557.20 and 9,214.60 is: 13,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696.70 : 32,557.20 = 9,214.60 : x
  2. Step 2: Convert to fraction form
    21,696.70/32,557.20 = 9,214.60/x
  3. Step 3: Cross multiply
    21,696.70x = 32,557.20 × 9,214.60
  4. Step 4: Simplify right side
    21,696.70x = 300,001,575.12
  5. Step 5: Solve for x
    x = 300,001,575.12/21,696.70
  6. Step 6: Final answer
    x = 13,827.06

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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.