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Finding the Fourth Proportional to 17,582.40, 26,351.04 and 7,181.76

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Solution

The fourth proportional to 17,582.40, 26,351.04 and 7,181.76 is: 10,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.40 : 26,351.04 = 7,181.76 : x
  2. Step 2: Convert to fraction form
    17,582.40/26,351.04 = 7,181.76/x
  3. Step 3: Cross multiply
    17,582.40x = 26,351.04 × 7,181.76
  4. Step 4: Simplify right side
    17,582.40x = 189,246,845.03
  5. Step 5: Solve for x
    x = 189,246,845.03/17,582.40
  6. Step 6: Final answer
    x = 10,763.43

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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.