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Finding the Fourth Proportional to 16,102.50, 22,202.73 and 15,106.20

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Solution

The fourth proportional to 16,102.50, 22,202.73 and 15,106.20 is: 20,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.50 : 22,202.73 = 15,106.20 : x
  2. Step 2: Convert to fraction form
    16,102.50/22,202.73 = 15,106.20/x
  3. Step 3: Cross multiply
    16,102.50x = 22,202.73 × 15,106.20
  4. Step 4: Simplify right side
    16,102.50x = 335,398,879.93
  5. Step 5: Solve for x
    x = 335,398,879.93/16,102.50
  6. Step 6: Final answer
    x = 20,828.99

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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.