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Finding the Fourth Proportional to 21,734.62, 32,599.04 and 7,694.99

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Solution

The fourth proportional to 21,734.62, 32,599.04 and 7,694.99 is: 11,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734.62 : 32,599.04 = 7,694.99 : x
  2. Step 2: Convert to fraction form
    21,734.62/32,599.04 = 7,694.99/x
  3. Step 3: Cross multiply
    21,734.62x = 32,599.04 × 7,694.99
  4. Step 4: Simplify right side
    21,734.62x = 250,849,286.81
  5. Step 5: Solve for x
    x = 250,849,286.81/21,734.62
  6. Step 6: Final answer
    x = 11,541.46

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Why These Related Problems?

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