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Finding the Fourth Proportional to 24,644.75, 34,009.80 and 13,466.75

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Solution

The fourth proportional to 24,644.75, 34,009.80 and 13,466.75 is: 18,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.75 : 34,009.80 = 13,466.75 : x
  2. Step 2: Convert to fraction form
    24,644.75/34,009.80 = 13,466.75/x
  3. Step 3: Cross multiply
    24,644.75x = 34,009.80 × 13,466.75
  4. Step 4: Simplify right side
    24,644.75x = 458,001,474.15
  5. Step 5: Solve for x
    x = 458,001,474.15/24,644.75
  6. Step 6: Final answer
    x = 18,584.14

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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.