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Finding the Fourth Proportional to 24,415.53, 36,626.94 and 7,770.64

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Solution

The fourth proportional to 24,415.53, 36,626.94 and 7,770.64 is: 11,657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.53 : 36,626.94 = 7,770.64 : x
  2. Step 2: Convert to fraction form
    24,415.53/36,626.94 = 7,770.64/x
  3. Step 3: Cross multiply
    24,415.53x = 36,626.94 × 7,770.64
  4. Step 4: Simplify right side
    24,415.53x = 284,614,673.47
  5. Step 5: Solve for x
    x = 284,614,673.47/24,415.53
  6. Step 6: Final answer
    x = 11,657.12

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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.