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Finding the Fourth Proportional to 17,761.44, 26,613 and 6,068.28

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Solution

The fourth proportional to 17,761.44, 26,613 and 6,068.28 is: 9,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.44 : 26,613 = 6,068.28 : x
  2. Step 2: Convert to fraction form
    17,761.44/26,613 = 6,068.28/x
  3. Step 3: Cross multiply
    17,761.44x = 26,613 × 6,068.28
  4. Step 4: Simplify right side
    17,761.44x = 161,495,135.64
  5. Step 5: Solve for x
    x = 161,495,135.64/17,761.44
  6. Step 6: Final answer
    x = 9,092.46

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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.