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Finding the Fourth Proportional to 22,714.97, 34,075.71 and 6,075.56

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Solution

The fourth proportional to 22,714.97, 34,075.71 and 6,075.56 is: 9,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.97 : 34,075.71 = 6,075.56 : x
  2. Step 2: Convert to fraction form
    22,714.97/34,075.71 = 6,075.56/x
  3. Step 3: Cross multiply
    22,714.97x = 34,075.71 × 6,075.56
  4. Step 4: Simplify right side
    22,714.97x = 207,029,020.65
  5. Step 5: Solve for x
    x = 207,029,020.65/22,714.97
  6. Step 6: Final answer
    x = 9,114.21

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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.