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Finding the Fourth Proportional to 23,061.78, 34,596 and 11,216.25

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Solution

The fourth proportional to 23,061.78, 34,596 and 11,216.25 is: 16,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,061.78 : 34,596 = 11,216.25 : x
  2. Step 2: Convert to fraction form
    23,061.78/34,596 = 11,216.25/x
  3. Step 3: Cross multiply
    23,061.78x = 34,596 × 11,216.25
  4. Step 4: Simplify right side
    23,061.78x = 388,037,385
  5. Step 5: Solve for x
    x = 388,037,385/23,061.78
  6. Step 6: Final answer
    x = 16,825.99

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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.