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Finding the Fourth Proportional to 27,285.09, 40,949.50 and 14,141.22

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Solution

The fourth proportional to 27,285.09, 40,949.50 and 14,141.22 is: 21,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285.09 : 40,949.50 = 14,141.22 : x
  2. Step 2: Convert to fraction form
    27,285.09/40,949.50 = 14,141.22/x
  3. Step 3: Cross multiply
    27,285.09x = 40,949.50 × 14,141.22
  4. Step 4: Simplify right side
    27,285.09x = 579,075,725.99
  5. Step 5: Solve for x
    x = 579,075,725.99/27,285.09
  6. Step 6: Final answer
    x = 21,223.16

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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.