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Finding the Fourth Proportional to 23,134.29, 34,701.35 and 5,604.09

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Solution

The fourth proportional to 23,134.29, 34,701.35 and 5,604.09 is: 8,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.29 : 34,701.35 = 5,604.09 : x
  2. Step 2: Convert to fraction form
    23,134.29/34,701.35 = 5,604.09/x
  3. Step 3: Cross multiply
    23,134.29x = 34,701.35 × 5,604.09
  4. Step 4: Simplify right side
    23,134.29x = 194,469,460.50
  5. Step 5: Solve for x
    x = 194,469,460.50/23,134.29
  6. Step 6: Final answer
    x = 8,406.11

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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.