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Finding the Fourth Proportional to 23,166.66, 34,749.96 and 8,184.86

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Solution

The fourth proportional to 23,166.66, 34,749.96 and 8,184.86 is: 12,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166.66 : 34,749.96 = 8,184.86 : x
  2. Step 2: Convert to fraction form
    23,166.66/34,749.96 = 8,184.86/x
  3. Step 3: Cross multiply
    23,166.66x = 34,749.96 × 8,184.86
  4. Step 4: Simplify right side
    23,166.66x = 284,423,383.86
  5. Step 5: Solve for x
    x = 284,423,383.86/23,166.66
  6. Step 6: Final answer
    x = 12,277.27

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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.