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Finding the Fourth Proportional to 22,990.50, 31,726.92 and 13,054.50

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Solution

The fourth proportional to 22,990.50, 31,726.92 and 13,054.50 is: 18,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990.50 : 31,726.92 = 13,054.50 : x
  2. Step 2: Convert to fraction form
    22,990.50/31,726.92 = 13,054.50/x
  3. Step 3: Cross multiply
    22,990.50x = 31,726.92 × 13,054.50
  4. Step 4: Simplify right side
    22,990.50x = 414,179,077.14
  5. Step 5: Solve for x
    x = 414,179,077.14/22,990.50
  6. Step 6: Final answer
    x = 18,015.23

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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.