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Finding the Fourth Proportional to 21,966.74, 30,313.86 and 11,894.90

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Solution

The fourth proportional to 21,966.74, 30,313.86 and 11,894.90 is: 16,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,966.74 : 30,313.86 = 11,894.90 : x
  2. Step 2: Convert to fraction form
    21,966.74/30,313.86 = 11,894.90/x
  3. Step 3: Cross multiply
    21,966.74x = 30,313.86 × 11,894.90
  4. Step 4: Simplify right side
    21,966.74x = 360,580,333.31
  5. Step 5: Solve for x
    x = 360,580,333.31/21,966.74
  6. Step 6: Final answer
    x = 16,414.83

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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.