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Finding the Fourth Proportional to 24,206.85, 36,310.05 and 7,567.02

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Solution

The fourth proportional to 24,206.85, 36,310.05 and 7,567.02 is: 11,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206.85 : 36,310.05 = 7,567.02 : x
  2. Step 2: Convert to fraction form
    24,206.85/36,310.05 = 7,567.02/x
  3. Step 3: Cross multiply
    24,206.85x = 36,310.05 × 7,567.02
  4. Step 4: Simplify right side
    24,206.85x = 274,758,874.55
  5. Step 5: Solve for x
    x = 274,758,874.55/24,206.85
  6. Step 6: Final answer
    x = 11,350.46

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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.