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Finding the Fourth Proportional to 20,658.26, 30,987.12 and 5,075.76

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Solution

The fourth proportional to 20,658.26, 30,987.12 and 5,075.76 is: 7,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.26 : 30,987.12 = 5,075.76 : x
  2. Step 2: Convert to fraction form
    20,658.26/30,987.12 = 5,075.76/x
  3. Step 3: Cross multiply
    20,658.26x = 30,987.12 × 5,075.76
  4. Step 4: Simplify right side
    20,658.26x = 157,283,184.21
  5. Step 5: Solve for x
    x = 157,283,184.21/20,658.26
  6. Step 6: Final answer
    x = 7,613.57

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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.