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Finding the Fourth Proportional to 23,198.78, 32,014.94 and 12,588.42

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Solution

The fourth proportional to 23,198.78, 32,014.94 and 12,588.42 is: 17,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.78 : 32,014.94 = 12,588.42 : x
  2. Step 2: Convert to fraction form
    23,198.78/32,014.94 = 12,588.42/x
  3. Step 3: Cross multiply
    23,198.78x = 32,014.94 × 12,588.42
  4. Step 4: Simplify right side
    23,198.78x = 403,017,448.05
  5. Step 5: Solve for x
    x = 403,017,448.05/23,198.78
  6. Step 6: Final answer
    x = 17,372.35

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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.