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Finding the Fourth Proportional to 16,061.76, 22,142.74 and 13,847.20

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Solution

The fourth proportional to 16,061.76, 22,142.74 and 13,847.20 is: 19,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,061.76 : 22,142.74 = 13,847.20 : x
  2. Step 2: Convert to fraction form
    16,061.76/22,142.74 = 13,847.20/x
  3. Step 3: Cross multiply
    16,061.76x = 22,142.74 × 13,847.20
  4. Step 4: Simplify right side
    16,061.76x = 306,614,949.33
  5. Step 5: Solve for x
    x = 306,614,949.33/16,061.76
  6. Step 6: Final answer
    x = 19,089.75

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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.