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Finding the Fourth Proportional to 17,631.76, 26,433.76 and 8,740.98

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Solution

The fourth proportional to 17,631.76, 26,433.76 and 8,740.98 is: 13,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631.76 : 26,433.76 = 8,740.98 : x
  2. Step 2: Convert to fraction form
    17,631.76/26,433.76 = 8,740.98/x
  3. Step 3: Cross multiply
    17,631.76x = 26,433.76 × 8,740.98
  4. Step 4: Simplify right side
    17,631.76x = 231,056,967.48
  5. Step 5: Solve for x
    x = 231,056,967.48/17,631.76
  6. Step 6: Final answer
    x = 13,104.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.