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Finding the Fourth Proportional to 27,922.23, 41,890.64 and 9,205.11

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Solution

The fourth proportional to 27,922.23, 41,890.64 and 9,205.11 is: 13,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922.23 : 41,890.64 = 9,205.11 : x
  2. Step 2: Convert to fraction form
    27,922.23/41,890.64 = 9,205.11/x
  3. Step 3: Cross multiply
    27,922.23x = 41,890.64 × 9,205.11
  4. Step 4: Simplify right side
    27,922.23x = 385,607,903.14
  5. Step 5: Solve for x
    x = 385,607,903.14/27,922.23
  6. Step 6: Final answer
    x = 13,810.07

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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.