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Finding the Fourth Proportional to 17,853.44, 26,741.28 and 8,600

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Solution

The fourth proportional to 17,853.44, 26,741.28 and 8,600 is: 12,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.44 : 26,741.28 = 8,600 : x
  2. Step 2: Convert to fraction form
    17,853.44/26,741.28 = 8,600/x
  3. Step 3: Cross multiply
    17,853.44x = 26,741.28 × 8,600
  4. Step 4: Simplify right side
    17,853.44x = 229,975,008
  5. Step 5: Solve for x
    x = 229,975,008/17,853.44
  6. Step 6: Final answer
    x = 12,881.27

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