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Finding the Fourth Proportional to 21,722.58, 32,583.30 and 6,932.40

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Solution

The fourth proportional to 21,722.58, 32,583.30 and 6,932.40 is: 10,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.58 : 32,583.30 = 6,932.40 : x
  2. Step 2: Convert to fraction form
    21,722.58/32,583.30 = 6,932.40/x
  3. Step 3: Cross multiply
    21,722.58x = 32,583.30 × 6,932.40
  4. Step 4: Simplify right side
    21,722.58x = 225,880,468.92
  5. Step 5: Solve for x
    x = 225,880,468.92/21,722.58
  6. Step 6: Final answer
    x = 10,398.42

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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.