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Finding the Fourth Proportional to 22,993, 31,730.38 and 13,057

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Solution

The fourth proportional to 22,993, 31,730.38 and 13,057 is: 18,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993 : 31,730.38 = 13,057 : x
  2. Step 2: Convert to fraction form
    22,993/31,730.38 = 13,057/x
  3. Step 3: Cross multiply
    22,993x = 31,730.38 × 13,057
  4. Step 4: Simplify right side
    22,993x = 414,303,571.66
  5. Step 5: Solve for x
    x = 414,303,571.66/22,993
  6. Step 6: Final answer
    x = 18,018.68

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