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Finding the Fourth Proportional to 24,531.30, 36,786.87 and 9,738.18

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Solution

The fourth proportional to 24,531.30, 36,786.87 and 9,738.18 is: 14,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,531.30 : 36,786.87 = 9,738.18 : x
  2. Step 2: Convert to fraction form
    24,531.30/36,786.87 = 9,738.18/x
  3. Step 3: Cross multiply
    24,531.30x = 36,786.87 × 9,738.18
  4. Step 4: Simplify right side
    24,531.30x = 358,237,161.70
  5. Step 5: Solve for x
    x = 358,237,161.70/24,531.30
  6. Step 6: Final answer
    x = 14,603.27

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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.