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Finding the Fourth Proportional to 22,103.76, 30,493 and 14,142.16

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Solution

The fourth proportional to 22,103.76, 30,493 and 14,142.16 is: 19,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,103.76 : 30,493 = 14,142.16 : x
  2. Step 2: Convert to fraction form
    22,103.76/30,493 = 14,142.16/x
  3. Step 3: Cross multiply
    22,103.76x = 30,493 × 14,142.16
  4. Step 4: Simplify right side
    22,103.76x = 431,236,884.88
  5. Step 5: Solve for x
    x = 431,236,884.88/22,103.76
  6. Step 6: Final answer
    x = 19,509.66

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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.