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Finding the Fourth Proportional to 13,874.25, 19,129.78 and 9,628.95

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Solution

The fourth proportional to 13,874.25, 19,129.78 and 9,628.95 is: 13,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.25 : 19,129.78 = 9,628.95 : x
  2. Step 2: Convert to fraction form
    13,874.25/19,129.78 = 9,628.95/x
  3. Step 3: Cross multiply
    13,874.25x = 19,129.78 × 9,628.95
  4. Step 4: Simplify right side
    13,874.25x = 184,199,695.13
  5. Step 5: Solve for x
    x = 184,199,695.13/13,874.25
  6. Step 6: Final answer
    x = 13,276.37

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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.