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Finding the Fourth Proportional to 13,946.54, 19,238.19 and 8,354.30

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Solution

The fourth proportional to 13,946.54, 19,238.19 and 8,354.30 is: 11,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.54 : 19,238.19 = 8,354.30 : x
  2. Step 2: Convert to fraction form
    13,946.54/19,238.19 = 8,354.30/x
  3. Step 3: Cross multiply
    13,946.54x = 19,238.19 × 8,354.30
  4. Step 4: Simplify right side
    13,946.54x = 160,721,610.72
  5. Step 5: Solve for x
    x = 160,721,610.72/13,946.54
  6. Step 6: Final answer
    x = 11,524.12

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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.