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Finding the Fourth Proportional to 13,114.72, 19,674.96 and 3,881.44

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Solution

The fourth proportional to 13,114.72, 19,674.96 and 3,881.44 is: 5,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.72 : 19,674.96 = 3,881.44 : x
  2. Step 2: Convert to fraction form
    13,114.72/19,674.96 = 3,881.44/x
  3. Step 3: Cross multiply
    13,114.72x = 19,674.96 × 3,881.44
  4. Step 4: Simplify right side
    13,114.72x = 76,367,176.74
  5. Step 5: Solve for x
    x = 76,367,176.74/13,114.72
  6. Step 6: Final answer
    x = 5,823.01

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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.