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Finding the Fourth Proportional to 18,509.10, 27,767.70 and 6,029.70

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Solution

The fourth proportional to 18,509.10, 27,767.70 and 6,029.70 is: 9,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.10 : 27,767.70 = 6,029.70 : x
  2. Step 2: Convert to fraction form
    18,509.10/27,767.70 = 6,029.70/x
  3. Step 3: Cross multiply
    18,509.10x = 27,767.70 × 6,029.70
  4. Step 4: Simplify right side
    18,509.10x = 167,430,900.69
  5. Step 5: Solve for x
    x = 167,430,900.69/18,509.10
  6. Step 6: Final answer
    x = 9,045.87

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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.