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Finding the Fourth Proportional to 24,523.35, 36,776.37 and 7,877.76

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Solution

The fourth proportional to 24,523.35, 36,776.37 and 7,877.76 is: 11,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.35 : 36,776.37 = 7,877.76 : x
  2. Step 2: Convert to fraction form
    24,523.35/36,776.37 = 7,877.76/x
  3. Step 3: Cross multiply
    24,523.35x = 36,776.37 × 7,877.76
  4. Step 4: Simplify right side
    24,523.35x = 289,715,416.53
  5. Step 5: Solve for x
    x = 289,715,416.53/24,523.35
  6. Step 6: Final answer
    x = 11,813.86

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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.