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Finding the Fourth Proportional to 27,705.95, 41,563.02 and 10,174.41

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Solution

The fourth proportional to 27,705.95, 41,563.02 and 10,174.41 is: 15,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.95 : 41,563.02 = 10,174.41 : x
  2. Step 2: Convert to fraction form
    27,705.95/41,563.02 = 10,174.41/x
  3. Step 3: Cross multiply
    27,705.95x = 41,563.02 × 10,174.41
  4. Step 4: Simplify right side
    27,705.95x = 422,878,947.63
  5. Step 5: Solve for x
    x = 422,878,947.63/27,705.95
  6. Step 6: Final answer
    x = 15,263.11

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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.