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Finding the Fourth Proportional to 23,264.94, 32,104.50 and 12,654.30

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Solution

The fourth proportional to 23,264.94, 32,104.50 and 12,654.30 is: 17,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.94 : 32,104.50 = 12,654.30 : x
  2. Step 2: Convert to fraction form
    23,264.94/32,104.50 = 12,654.30/x
  3. Step 3: Cross multiply
    23,264.94x = 32,104.50 × 12,654.30
  4. Step 4: Simplify right side
    23,264.94x = 406,259,974.35
  5. Step 5: Solve for x
    x = 406,259,974.35/23,264.94
  6. Step 6: Final answer
    x = 17,462.33

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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.