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Finding the Fourth Proportional to 21,817.32, 32,726.28 and 6,234.94

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Solution

The fourth proportional to 21,817.32, 32,726.28 and 6,234.94 is: 9,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817.32 : 32,726.28 = 6,234.94 : x
  2. Step 2: Convert to fraction form
    21,817.32/32,726.28 = 6,234.94/x
  3. Step 3: Cross multiply
    21,817.32x = 32,726.28 × 6,234.94
  4. Step 4: Simplify right side
    21,817.32x = 204,046,392.22
  5. Step 5: Solve for x
    x = 204,046,392.22/21,817.32
  6. Step 6: Final answer
    x = 9,352.50

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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.