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Finding the Fourth Proportional to 23,208.54, 32,027.94 and 12,598.22

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Solution

The fourth proportional to 23,208.54, 32,027.94 and 12,598.22 is: 17,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.54 : 32,027.94 = 12,598.22 : x
  2. Step 2: Convert to fraction form
    23,208.54/32,027.94 = 12,598.22/x
  3. Step 3: Cross multiply
    23,208.54x = 32,027.94 × 12,598.22
  4. Step 4: Simplify right side
    23,208.54x = 403,494,874.13
  5. Step 5: Solve for x
    x = 403,494,874.13/23,208.54
  6. Step 6: Final answer
    x = 17,385.62

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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.