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Finding the Fourth Proportional to 21,694.11, 32,541.47 and 6,915.47

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Solution

The fourth proportional to 21,694.11, 32,541.47 and 6,915.47 is: 10,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.11 : 32,541.47 = 6,915.47 : x
  2. Step 2: Convert to fraction form
    21,694.11/32,541.47 = 6,915.47/x
  3. Step 3: Cross multiply
    21,694.11x = 32,541.47 × 6,915.47
  4. Step 4: Simplify right side
    21,694.11x = 225,039,362.26
  5. Step 5: Solve for x
    x = 225,039,362.26/21,694.11
  6. Step 6: Final answer
    x = 10,373.29

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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.