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Finding the Fourth Proportional to 21,466.62, 32,192.64 and 8,315.46

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Solution

The fourth proportional to 21,466.62, 32,192.64 and 8,315.46 is: 12,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.62 : 32,192.64 = 8,315.46 : x
  2. Step 2: Convert to fraction form
    21,466.62/32,192.64 = 8,315.46/x
  3. Step 3: Cross multiply
    21,466.62x = 32,192.64 × 8,315.46
  4. Step 4: Simplify right side
    21,466.62x = 267,696,610.21
  5. Step 5: Solve for x
    x = 267,696,610.21/21,466.62
  6. Step 6: Final answer
    x = 12,470.37

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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.