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Finding the Fourth Proportional to 23,284.98, 34,929.09 and 7,713.54

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Solution

The fourth proportional to 23,284.98, 34,929.09 and 7,713.54 is: 11,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.98 : 34,929.09 = 7,713.54 : x
  2. Step 2: Convert to fraction form
    23,284.98/34,929.09 = 7,713.54/x
  3. Step 3: Cross multiply
    23,284.98x = 34,929.09 × 7,713.54
  4. Step 4: Simplify right side
    23,284.98x = 269,426,932.88
  5. Step 5: Solve for x
    x = 269,426,932.88/23,284.98
  6. Step 6: Final answer
    x = 11,570.85

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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.