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Finding the Fourth Proportional to 23,208.25, 32,027.41 and 12,597.88

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Solution

The fourth proportional to 23,208.25, 32,027.41 and 12,597.88 is: 17,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.25 : 32,027.41 = 12,597.88 : x
  2. Step 2: Convert to fraction form
    23,208.25/32,027.41 = 12,597.88/x
  3. Step 3: Cross multiply
    23,208.25x = 32,027.41 × 12,597.88
  4. Step 4: Simplify right side
    23,208.25x = 403,477,356.33
  5. Step 5: Solve for x
    x = 403,477,356.33/23,208.25
  6. Step 6: Final answer
    x = 17,385.09

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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.