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Finding the Fourth Proportional to 21,764.52, 32,642.33 and 6,969.33

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Solution

The fourth proportional to 21,764.52, 32,642.33 and 6,969.33 is: 10,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764.52 : 32,642.33 = 6,969.33 : x
  2. Step 2: Convert to fraction form
    21,764.52/32,642.33 = 6,969.33/x
  3. Step 3: Cross multiply
    21,764.52x = 32,642.33 × 6,969.33
  4. Step 4: Simplify right side
    21,764.52x = 227,495,134.89
  5. Step 5: Solve for x
    x = 227,495,134.89/21,764.52
  6. Step 6: Final answer
    x = 10,452.57

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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.