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Finding the Fourth Proportional to 13,682.78, 18,881.80 and 7,714.36

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Solution

The fourth proportional to 13,682.78, 18,881.80 and 7,714.36 is: 10,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.78 : 18,881.80 = 7,714.36 : x
  2. Step 2: Convert to fraction form
    13,682.78/18,881.80 = 7,714.36/x
  3. Step 3: Cross multiply
    13,682.78x = 18,881.80 × 7,714.36
  4. Step 4: Simplify right side
    13,682.78x = 145,661,002.65
  5. Step 5: Solve for x
    x = 145,661,002.65/13,682.78
  6. Step 6: Final answer
    x = 10,645.57

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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.