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Finding the Fourth Proportional to 13,447.62, 18,557.91 and 8,142.93

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Solution

The fourth proportional to 13,447.62, 18,557.91 and 8,142.93 is: 11,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.62 : 18,557.91 = 8,142.93 : x
  2. Step 2: Convert to fraction form
    13,447.62/18,557.91 = 8,142.93/x
  3. Step 3: Cross multiply
    13,447.62x = 18,557.91 × 8,142.93
  4. Step 4: Simplify right side
    13,447.62x = 151,115,762.08
  5. Step 5: Solve for x
    x = 151,115,762.08/13,447.62
  6. Step 6: Final answer
    x = 11,237.36

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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.