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Finding the Fourth Proportional to 13,851.66, 19,115.73 and 8,546.34

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Solution

The fourth proportional to 13,851.66, 19,115.73 and 8,546.34 is: 11,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.66 : 19,115.73 = 8,546.34 : x
  2. Step 2: Convert to fraction form
    13,851.66/19,115.73 = 8,546.34/x
  3. Step 3: Cross multiply
    13,851.66x = 19,115.73 × 8,546.34
  4. Step 4: Simplify right side
    13,851.66x = 163,369,527.93
  5. Step 5: Solve for x
    x = 163,369,527.93/13,851.66
  6. Step 6: Final answer
    x = 11,794.22

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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.