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Finding the Fourth Proportional to 19,709.64, 29,531.60 and 13,855.80

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Solution

The fourth proportional to 19,709.64, 29,531.60 and 13,855.80 is: 20,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.64 : 29,531.60 = 13,855.80 : x
  2. Step 2: Convert to fraction form
    19,709.64/29,531.60 = 13,855.80/x
  3. Step 3: Cross multiply
    19,709.64x = 29,531.60 × 13,855.80
  4. Step 4: Simplify right side
    19,709.64x = 409,183,943.28
  5. Step 5: Solve for x
    x = 409,183,943.28/19,709.64
  6. Step 6: Final answer
    x = 20,760.60

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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.