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Finding the Fourth Proportional to 23,414.90, 32,309.91 and 13,855.08

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Solution

The fourth proportional to 23,414.90, 32,309.91 and 13,855.08 is: 19,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.90 : 32,309.91 = 13,855.08 : x
  2. Step 2: Convert to fraction form
    23,414.90/32,309.91 = 13,855.08/x
  3. Step 3: Cross multiply
    23,414.90x = 32,309.91 × 13,855.08
  4. Step 4: Simplify right side
    23,414.90x = 447,656,387.84
  5. Step 5: Solve for x
    x = 447,656,387.84/23,414.90
  6. Step 6: Final answer
    x = 19,118.44

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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.