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Finding the Fourth Proportional to 24,274.36, 36,408.89 and 6,506.76

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Solution

The fourth proportional to 24,274.36, 36,408.89 and 6,506.76 is: 9,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.36 : 36,408.89 = 6,506.76 : x
  2. Step 2: Convert to fraction form
    24,274.36/36,408.89 = 6,506.76/x
  3. Step 3: Cross multiply
    24,274.36x = 36,408.89 × 6,506.76
  4. Step 4: Simplify right side
    24,274.36x = 236,904,061.90
  5. Step 5: Solve for x
    x = 236,904,061.90/24,274.36
  6. Step 6: Final answer
    x = 9,759.44

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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.