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Finding the Fourth Proportional to 15,771.77, 23,674.06 and 11,616.47

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Solution

The fourth proportional to 15,771.77, 23,674.06 and 11,616.47 is: 17,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.77 : 23,674.06 = 11,616.47 : x
  2. Step 2: Convert to fraction form
    15,771.77/23,674.06 = 11,616.47/x
  3. Step 3: Cross multiply
    15,771.77x = 23,674.06 × 11,616.47
  4. Step 4: Simplify right side
    15,771.77x = 275,009,007.77
  5. Step 5: Solve for x
    x = 275,009,007.77/15,771.77
  6. Step 6: Final answer
    x = 17,436.79

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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.