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Finding the Fourth Proportional to 21,816, 32,724 and 7,026.41

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Solution

The fourth proportional to 21,816, 32,724 and 7,026.41 is: 10,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816 : 32,724 = 7,026.41 : x
  2. Step 2: Convert to fraction form
    21,816/32,724 = 7,026.41/x
  3. Step 3: Cross multiply
    21,816x = 32,724 × 7,026.41
  4. Step 4: Simplify right side
    21,816x = 229,932,322.65
  5. Step 5: Solve for x
    x = 229,932,322.65/21,816
  6. Step 6: Final answer
    x = 10,539.62

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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.