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Finding the Fourth Proportional to 23,112.54, 34,675.76 and 9,778.68

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Solution

The fourth proportional to 23,112.54, 34,675.76 and 9,778.68 is: 14,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112.54 : 34,675.76 = 9,778.68 : x
  2. Step 2: Convert to fraction form
    23,112.54/34,675.76 = 9,778.68/x
  3. Step 3: Cross multiply
    23,112.54x = 34,675.76 × 9,778.68
  4. Step 4: Simplify right side
    23,112.54x = 339,083,185.24
  5. Step 5: Solve for x
    x = 339,083,185.24/23,112.54
  6. Step 6: Final answer
    x = 14,670.96

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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.