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Finding the Fourth Proportional to 13,902.78, 19,185.86 and 7,529.44

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Solution

The fourth proportional to 13,902.78, 19,185.86 and 7,529.44 is: 10,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.78 : 19,185.86 = 7,529.44 : x
  2. Step 2: Convert to fraction form
    13,902.78/19,185.86 = 7,529.44/x
  3. Step 3: Cross multiply
    13,902.78x = 19,185.86 × 7,529.44
  4. Step 4: Simplify right side
    13,902.78x = 144,458,781.72
  5. Step 5: Solve for x
    x = 144,458,781.72/13,902.78
  6. Step 6: Final answer
    x = 10,390.64

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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.