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Finding the Fourth Proportional to 21,696.84, 32,522.72 and 9,224.87

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Solution

The fourth proportional to 21,696.84, 32,522.72 and 9,224.87 is: 13,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696.84 : 32,522.72 = 9,224.87 : x
  2. Step 2: Convert to fraction form
    21,696.84/32,522.72 = 9,224.87/x
  3. Step 3: Cross multiply
    21,696.84x = 32,522.72 × 9,224.87
  4. Step 4: Simplify right side
    21,696.84x = 300,017,655.31
  5. Step 5: Solve for x
    x = 300,017,655.31/21,696.84
  6. Step 6: Final answer
    x = 13,827.71

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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.