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Finding the Fourth Proportional to 23,213.70, 32,035.10 and 12,603.41

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Solution

The fourth proportional to 23,213.70, 32,035.10 and 12,603.41 is: 17,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.70 : 32,035.10 = 12,603.41 : x
  2. Step 2: Convert to fraction form
    23,213.70/32,035.10 = 12,603.41/x
  3. Step 3: Cross multiply
    23,213.70x = 32,035.10 × 12,603.41
  4. Step 4: Simplify right side
    23,213.70x = 403,751,276.50
  5. Step 5: Solve for x
    x = 403,751,276.50/23,213.70
  6. Step 6: Final answer
    x = 17,392.80

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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.