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Finding the Fourth Proportional to 16,096.44, 24,157.80 and 8,307.48

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Solution

The fourth proportional to 16,096.44, 24,157.80 and 8,307.48 is: 12,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.44 : 24,157.80 = 8,307.48 : x
  2. Step 2: Convert to fraction form
    16,096.44/24,157.80 = 8,307.48/x
  3. Step 3: Cross multiply
    16,096.44x = 24,157.80 × 8,307.48
  4. Step 4: Simplify right side
    16,096.44x = 200,690,440.34
  5. Step 5: Solve for x
    x = 200,690,440.34/16,096.44
  6. Step 6: Final answer
    x = 12,468.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.