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Finding the Fourth Proportional to 17,029.12, 25,532.70 and 5,935

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Solution

The fourth proportional to 17,029.12, 25,532.70 and 5,935 is: 8,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,029.12 : 25,532.70 = 5,935 : x
  2. Step 2: Convert to fraction form
    17,029.12/25,532.70 = 5,935/x
  3. Step 3: Cross multiply
    17,029.12x = 25,532.70 × 5,935
  4. Step 4: Simplify right side
    17,029.12x = 151,536,574.50
  5. Step 5: Solve for x
    x = 151,536,574.50/17,029.12
  6. Step 6: Final answer
    x = 8,898.67

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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.