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Finding the Fourth Proportional to 21,794.12, 30,075 and 12,362.48

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Solution

The fourth proportional to 21,794.12, 30,075 and 12,362.48 is: 17,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.12 : 30,075 = 12,362.48 : x
  2. Step 2: Convert to fraction form
    21,794.12/30,075 = 12,362.48/x
  3. Step 3: Cross multiply
    21,794.12x = 30,075 × 12,362.48
  4. Step 4: Simplify right side
    21,794.12x = 371,801,586
  5. Step 5: Solve for x
    x = 371,801,586/21,794.12
  6. Step 6: Final answer
    x = 17,059.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.