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Finding the Fourth Proportional to 13,323.24, 18,379.98 and 7,731

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Solution

The fourth proportional to 13,323.24, 18,379.98 and 7,731 is: 10,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.24 : 18,379.98 = 7,731 : x
  2. Step 2: Convert to fraction form
    13,323.24/18,379.98 = 7,731/x
  3. Step 3: Cross multiply
    13,323.24x = 18,379.98 × 7,731
  4. Step 4: Simplify right side
    13,323.24x = 142,095,625.38
  5. Step 5: Solve for x
    x = 142,095,625.38/13,323.24
  6. Step 6: Final answer
    x = 10,665.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.