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Finding the Fourth Proportional to 13,851.18, 20,740.32 and 8,291.34

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Solution

The fourth proportional to 13,851.18, 20,740.32 and 8,291.34 is: 12,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.18 : 20,740.32 = 8,291.34 : x
  2. Step 2: Convert to fraction form
    13,851.18/20,740.32 = 8,291.34/x
  3. Step 3: Cross multiply
    13,851.18x = 20,740.32 × 8,291.34
  4. Step 4: Simplify right side
    13,851.18x = 171,965,044.83
  5. Step 5: Solve for x
    x = 171,965,044.83/13,851.18
  6. Step 6: Final answer
    x = 12,415.19

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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.