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Finding the Fourth Proportional to 17,911.42, 26,859.75 and 7,780.44

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Solution

The fourth proportional to 17,911.42, 26,859.75 and 7,780.44 is: 11,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,911.42 : 26,859.75 = 7,780.44 : x
  2. Step 2: Convert to fraction form
    17,911.42/26,859.75 = 7,780.44/x
  3. Step 3: Cross multiply
    17,911.42x = 26,859.75 × 7,780.44
  4. Step 4: Simplify right side
    17,911.42x = 208,980,673.29
  5. Step 5: Solve for x
    x = 208,980,673.29/17,911.42
  6. Step 6: Final answer
    x = 11,667.46

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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.