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Finding the Fourth Proportional to 13,840.90, 19,094.07 and 8,174.14

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Solution

The fourth proportional to 13,840.90, 19,094.07 and 8,174.14 is: 11,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.90 : 19,094.07 = 8,174.14 : x
  2. Step 2: Convert to fraction form
    13,840.90/19,094.07 = 8,174.14/x
  3. Step 3: Cross multiply
    13,840.90x = 19,094.07 × 8,174.14
  4. Step 4: Simplify right side
    13,840.90x = 156,077,601.35
  5. Step 5: Solve for x
    x = 156,077,601.35/13,840.90
  6. Step 6: Final answer
    x = 11,276.55

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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.