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Finding the Fourth Proportional to 18,506.92, 27,762.99 and 6,022.93

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Solution

The fourth proportional to 18,506.92, 27,762.99 and 6,022.93 is: 9,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.92 : 27,762.99 = 6,022.93 : x
  2. Step 2: Convert to fraction form
    18,506.92/27,762.99 = 6,022.93/x
  3. Step 3: Cross multiply
    18,506.92x = 27,762.99 × 6,022.93
  4. Step 4: Simplify right side
    18,506.92x = 167,214,545.36
  5. Step 5: Solve for x
    x = 167,214,545.36/18,506.92
  6. Step 6: Final answer
    x = 9,035.24

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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.