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Finding the Fourth Proportional to 12,638.44, 17,432.34 and 9,981.64

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Solution

The fourth proportional to 12,638.44, 17,432.34 and 9,981.64 is: 13,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.44 : 17,432.34 = 9,981.64 : x
  2. Step 2: Convert to fraction form
    12,638.44/17,432.34 = 9,981.64/x
  3. Step 3: Cross multiply
    12,638.44x = 17,432.34 × 9,981.64
  4. Step 4: Simplify right side
    12,638.44x = 174,003,342.24
  5. Step 5: Solve for x
    x = 174,003,342.24/12,638.44
  6. Step 6: Final answer
    x = 13,767.79

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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.