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Finding the Fourth Proportional to 22,546.48, 33,827.47 and 10,075.11

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Solution

The fourth proportional to 22,546.48, 33,827.47 and 10,075.11 is: 15,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.48 : 33,827.47 = 10,075.11 : x
  2. Step 2: Convert to fraction form
    22,546.48/33,827.47 = 10,075.11/x
  3. Step 3: Cross multiply
    22,546.48x = 33,827.47 × 10,075.11
  4. Step 4: Simplify right side
    22,546.48x = 340,815,576.18
  5. Step 5: Solve for x
    x = 340,815,576.18/22,546.48
  6. Step 6: Final answer
    x = 15,116.13

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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.