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Finding the Fourth Proportional to 13,146.86, 18,142.91 and 7,178.76

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Solution

The fourth proportional to 13,146.86, 18,142.91 and 7,178.76 is: 9,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.86 : 18,142.91 = 7,178.76 : x
  2. Step 2: Convert to fraction form
    13,146.86/18,142.91 = 7,178.76/x
  3. Step 3: Cross multiply
    13,146.86x = 18,142.91 × 7,178.76
  4. Step 4: Simplify right side
    13,146.86x = 130,243,614.54
  5. Step 5: Solve for x
    x = 130,243,614.54/13,146.86
  6. Step 6: Final answer
    x = 9,906.83

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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.