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Finding the Fourth Proportional to 20,054.96, 30,075.84 and 6,907.04

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Solution

The fourth proportional to 20,054.96, 30,075.84 and 6,907.04 is: 10,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.96 : 30,075.84 = 6,907.04 : x
  2. Step 2: Convert to fraction form
    20,054.96/30,075.84 = 6,907.04/x
  3. Step 3: Cross multiply
    20,054.96x = 30,075.84 × 6,907.04
  4. Step 4: Simplify right side
    20,054.96x = 207,735,029.91
  5. Step 5: Solve for x
    x = 207,735,029.91/20,054.96
  6. Step 6: Final answer
    x = 10,358.29

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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.