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Finding the Fourth Proportional to 23,204.98, 32,024.87 and 13,136.64

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Solution

The fourth proportional to 23,204.98, 32,024.87 and 13,136.64 is: 18,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.98 : 32,024.87 = 13,136.64 : x
  2. Step 2: Convert to fraction form
    23,204.98/32,024.87 = 13,136.64/x
  3. Step 3: Cross multiply
    23,204.98x = 32,024.87 × 13,136.64
  4. Step 4: Simplify right side
    23,204.98x = 420,699,188.24
  5. Step 5: Solve for x
    x = 420,699,188.24/23,204.98
  6. Step 6: Final answer
    x = 18,129.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.