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Finding the Fourth Proportional to 16,100.01, 24,158.52 and 8,307

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Solution

The fourth proportional to 16,100.01, 24,158.52 and 8,307 is: 12,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.01 : 24,158.52 = 8,307 : x
  2. Step 2: Convert to fraction form
    16,100.01/24,158.52 = 8,307/x
  3. Step 3: Cross multiply
    16,100.01x = 24,158.52 × 8,307
  4. Step 4: Simplify right side
    16,100.01x = 200,684,825.64
  5. Step 5: Solve for x
    x = 200,684,825.64/16,100.01
  6. Step 6: Final answer
    x = 12,464.89

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