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Finding the Fourth Proportional to 17,830.13, 26,748.83 and 7,441.88

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Solution

The fourth proportional to 17,830.13, 26,748.83 and 7,441.88 is: 11,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.13 : 26,748.83 = 7,441.88 : x
  2. Step 2: Convert to fraction form
    17,830.13/26,748.83 = 7,441.88/x
  3. Step 3: Cross multiply
    17,830.13x = 26,748.83 × 7,441.88
  4. Step 4: Simplify right side
    17,830.13x = 199,061,467.86
  5. Step 5: Solve for x
    x = 199,061,467.86/17,830.13
  6. Step 6: Final answer
    x = 11,164.33

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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.