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Finding the Fourth Proportional to 24,205.19, 36,311.99 and 7,560.96

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Solution

The fourth proportional to 24,205.19, 36,311.99 and 7,560.96 is: 11,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.19 : 36,311.99 = 7,560.96 : x
  2. Step 2: Convert to fraction form
    24,205.19/36,311.99 = 7,560.96/x
  3. Step 3: Cross multiply
    24,205.19x = 36,311.99 × 7,560.96
  4. Step 4: Simplify right side
    24,205.19x = 274,553,466.11
  5. Step 5: Solve for x
    x = 274,553,466.11/24,205.19
  6. Step 6: Final answer
    x = 11,342.75

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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.