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Finding the Fourth Proportional to 21,901.81, 30,226.73 and 13,409.54

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Solution

The fourth proportional to 21,901.81, 30,226.73 and 13,409.54 is: 18,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901.81 : 30,226.73 = 13,409.54 : x
  2. Step 2: Convert to fraction form
    21,901.81/30,226.73 = 13,409.54/x
  3. Step 3: Cross multiply
    21,901.81x = 30,226.73 × 13,409.54
  4. Step 4: Simplify right side
    21,901.81x = 405,326,545.00
  5. Step 5: Solve for x
    x = 405,326,545.00/21,901.81
  6. Step 6: Final answer
    x = 18,506.53

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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.