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Finding the Fourth Proportional to 15,771.96, 23,674.34 and 11,616.66

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Solution

The fourth proportional to 15,771.96, 23,674.34 and 11,616.66 is: 17,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.96 : 23,674.34 = 11,616.66 : x
  2. Step 2: Convert to fraction form
    15,771.96/23,674.34 = 11,616.66/x
  3. Step 3: Cross multiply
    15,771.96x = 23,674.34 × 11,616.66
  4. Step 4: Simplify right side
    15,771.96x = 275,016,758.50
  5. Step 5: Solve for x
    x = 275,016,758.50/15,771.96
  6. Step 6: Final answer
    x = 17,437.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.