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Finding the Fourth Proportional to 13,172.78, 18,174.76 and 7,865.66

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Solution

The fourth proportional to 13,172.78, 18,174.76 and 7,865.66 is: 10,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.78 : 18,174.76 = 7,865.66 : x
  2. Step 2: Convert to fraction form
    13,172.78/18,174.76 = 7,865.66/x
  3. Step 3: Cross multiply
    13,172.78x = 18,174.76 × 7,865.66
  4. Step 4: Simplify right side
    13,172.78x = 142,956,508.51
  5. Step 5: Solve for x
    x = 142,956,508.51/13,172.78
  6. Step 6: Final answer
    x = 10,852.42

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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.