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Finding the Fourth Proportional to 20,408.91, 30,601.86 and 7,075.65

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Solution

The fourth proportional to 20,408.91, 30,601.86 and 7,075.65 is: 10,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.91 : 30,601.86 = 7,075.65 : x
  2. Step 2: Convert to fraction form
    20,408.91/30,601.86 = 7,075.65/x
  3. Step 3: Cross multiply
    20,408.91x = 30,601.86 × 7,075.65
  4. Step 4: Simplify right side
    20,408.91x = 216,528,050.71
  5. Step 5: Solve for x
    x = 216,528,050.71/20,408.91
  6. Step 6: Final answer
    x = 10,609.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.