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Finding the Fourth Proportional to 8,997.57, 13,495.12 and 2,424.15

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Solution

The fourth proportional to 8,997.57, 13,495.12 and 2,424.15 is: 3,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.57 : 13,495.12 = 2,424.15 : x
  2. Step 2: Convert to fraction form
    8,997.57/13,495.12 = 2,424.15/x
  3. Step 3: Cross multiply
    8,997.57x = 13,495.12 × 2,424.15
  4. Step 4: Simplify right side
    8,997.57x = 32,714,195.15
  5. Step 5: Solve for x
    x = 32,714,195.15/8,997.57
  6. Step 6: Final answer
    x = 3,635.89

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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.