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Finding the Fourth Proportional to 12,631.50, 17,431.83 and 7,042.86

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Solution

The fourth proportional to 12,631.50, 17,431.83 and 7,042.86 is: 9,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.50 : 17,431.83 = 7,042.86 : x
  2. Step 2: Convert to fraction form
    12,631.50/17,431.83 = 7,042.86/x
  3. Step 3: Cross multiply
    12,631.50x = 17,431.83 × 7,042.86
  4. Step 4: Simplify right side
    12,631.50x = 122,769,938.23
  5. Step 5: Solve for x
    x = 122,769,938.23/12,631.50
  6. Step 6: Final answer
    x = 9,719.35

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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.