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Finding the Fourth Proportional to 21,911.70, 30,235.74 and 13,415.97

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Solution

The fourth proportional to 21,911.70, 30,235.74 and 13,415.97 is: 18,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911.70 : 30,235.74 = 13,415.97 : x
  2. Step 2: Convert to fraction form
    21,911.70/30,235.74 = 13,415.97/x
  3. Step 3: Cross multiply
    21,911.70x = 30,235.74 × 13,415.97
  4. Step 4: Simplify right side
    21,911.70x = 405,641,780.77
  5. Step 5: Solve for x
    x = 405,641,780.77/21,911.70
  6. Step 6: Final answer
    x = 18,512.57

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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.