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Finding the Fourth Proportional to 17,742.40, 26,630 and 8,983.44

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Solution

The fourth proportional to 17,742.40, 26,630 and 8,983.44 is: 13,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.40 : 26,630 = 8,983.44 : x
  2. Step 2: Convert to fraction form
    17,742.40/26,630 = 8,983.44/x
  3. Step 3: Cross multiply
    17,742.40x = 26,630 × 8,983.44
  4. Step 4: Simplify right side
    17,742.40x = 239,229,007.20
  5. Step 5: Solve for x
    x = 239,229,007.20/17,742.40
  6. Step 6: Final answer
    x = 13,483.46

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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.