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Finding the Fourth Proportional to 13,851.36, 19,114.92 and 8,262

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Solution

The fourth proportional to 13,851.36, 19,114.92 and 8,262 is: 11,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.36 : 19,114.92 = 8,262 : x
  2. Step 2: Convert to fraction form
    13,851.36/19,114.92 = 8,262/x
  3. Step 3: Cross multiply
    13,851.36x = 19,114.92 × 8,262
  4. Step 4: Simplify right side
    13,851.36x = 157,927,469.04
  5. Step 5: Solve for x
    x = 157,927,469.04/13,851.36
  6. Step 6: Final answer
    x = 11,401.59

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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.