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Finding the Fourth Proportional to 16,106.75, 22,219.75 and 11,393.63

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Solution

The fourth proportional to 16,106.75, 22,219.75 and 11,393.63 is: 15,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.75 : 22,219.75 = 11,393.63 : x
  2. Step 2: Convert to fraction form
    16,106.75/22,219.75 = 11,393.63/x
  3. Step 3: Cross multiply
    16,106.75x = 22,219.75 × 11,393.63
  4. Step 4: Simplify right side
    16,106.75x = 253,163,610.19
  5. Step 5: Solve for x
    x = 253,163,610.19/16,106.75
  6. Step 6: Final answer
    x = 15,717.86

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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.