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Finding the Fourth Proportional to 13,146.86, 18,142.64 and 8,431.13

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Solution

The fourth proportional to 13,146.86, 18,142.64 and 8,431.13 is: 11,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.86 : 18,142.64 = 8,431.13 : x
  2. Step 2: Convert to fraction form
    13,146.86/18,142.64 = 8,431.13/x
  3. Step 3: Cross multiply
    13,146.86x = 18,142.64 × 8,431.13
  4. Step 4: Simplify right side
    13,146.86x = 152,962,823.51
  5. Step 5: Solve for x
    x = 152,962,823.51/13,146.86
  6. Step 6: Final answer
    x = 11,634.94

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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.