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Finding the Fourth Proportional to 21,534.33, 32,306.15 and 6,540.22

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Solution

The fourth proportional to 21,534.33, 32,306.15 and 6,540.22 is: 9,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.33 : 32,306.15 = 6,540.22 : x
  2. Step 2: Convert to fraction form
    21,534.33/32,306.15 = 6,540.22/x
  3. Step 3: Cross multiply
    21,534.33x = 32,306.15 × 6,540.22
  4. Step 4: Simplify right side
    21,534.33x = 211,289,263.94
  5. Step 5: Solve for x
    x = 211,289,263.94/21,534.33
  6. Step 6: Final answer
    x = 9,811.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.