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Finding the Fourth Proportional to 24,381.74, 36,577.11 and 7,737.27

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Solution

The fourth proportional to 24,381.74, 36,577.11 and 7,737.27 is: 11,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.74 : 36,577.11 = 7,737.27 : x
  2. Step 2: Convert to fraction form
    24,381.74/36,577.11 = 7,737.27/x
  3. Step 3: Cross multiply
    24,381.74x = 36,577.11 × 7,737.27
  4. Step 4: Simplify right side
    24,381.74x = 283,006,975.89
  5. Step 5: Solve for x
    x = 283,006,975.89/24,381.74
  6. Step 6: Final answer
    x = 11,607.34

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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.