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Finding the Fourth Proportional to 21,653.43, 32,481.06 and 6,862.02

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Solution

The fourth proportional to 21,653.43, 32,481.06 and 6,862.02 is: 10,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.43 : 32,481.06 = 6,862.02 : x
  2. Step 2: Convert to fraction form
    21,653.43/32,481.06 = 6,862.02/x
  3. Step 3: Cross multiply
    21,653.43x = 32,481.06 × 6,862.02
  4. Step 4: Simplify right side
    21,653.43x = 222,885,683.34
  5. Step 5: Solve for x
    x = 222,885,683.34/21,653.43
  6. Step 6: Final answer
    x = 10,293.32

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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.