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Finding the Fourth Proportional to 19,405.47, 29,084.69 and 13,774.29

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Solution

The fourth proportional to 19,405.47, 29,084.69 and 13,774.29 is: 20,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,405.47 : 29,084.69 = 13,774.29 : x
  2. Step 2: Convert to fraction form
    19,405.47/29,084.69 = 13,774.29/x
  3. Step 3: Cross multiply
    19,405.47x = 29,084.69 × 13,774.29
  4. Step 4: Simplify right side
    19,405.47x = 400,620,740.33
  5. Step 5: Solve for x
    x = 400,620,740.33/19,405.47
  6. Step 6: Final answer
    x = 20,644.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.