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Finding the Fourth Proportional to 20,075.92, 30,115.56 and 8,390.16

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Solution

The fourth proportional to 20,075.92, 30,115.56 and 8,390.16 is: 12,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.92 : 30,115.56 = 8,390.16 : x
  2. Step 2: Convert to fraction form
    20,075.92/30,115.56 = 8,390.16/x
  3. Step 3: Cross multiply
    20,075.92x = 30,115.56 × 8,390.16
  4. Step 4: Simplify right side
    20,075.92x = 252,674,366.89
  5. Step 5: Solve for x
    x = 252,674,366.89/20,075.92
  6. Step 6: Final answer
    x = 12,585.94

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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.