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Finding the Fourth Proportional to 23,208.41, 32,027.43 and 12,597.83

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Solution

The fourth proportional to 23,208.41, 32,027.43 and 12,597.83 is: 17,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.41 : 32,027.43 = 12,597.83 : x
  2. Step 2: Convert to fraction form
    23,208.41/32,027.43 = 12,597.83/x
  3. Step 3: Cross multiply
    23,208.41x = 32,027.43 × 12,597.83
  4. Step 4: Simplify right side
    23,208.41x = 403,476,118.48
  5. Step 5: Solve for x
    x = 403,476,118.48/23,208.41
  6. Step 6: Final answer
    x = 17,384.91

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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.