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Finding the Fourth Proportional to 21,927.26, 32,903.85 and 8,085.98

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Solution

The fourth proportional to 21,927.26, 32,903.85 and 8,085.98 is: 12,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.26 : 32,903.85 = 8,085.98 : x
  2. Step 2: Convert to fraction form
    21,927.26/32,903.85 = 8,085.98/x
  3. Step 3: Cross multiply
    21,927.26x = 32,903.85 × 8,085.98
  4. Step 4: Simplify right side
    21,927.26x = 266,059,873.02
  5. Step 5: Solve for x
    x = 266,059,873.02/21,927.26
  6. Step 6: Final answer
    x = 12,133.75

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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.