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Finding the Fourth Proportional to 16,007.63, 24,013.35 and 4,912.86

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Solution

The fourth proportional to 16,007.63, 24,013.35 and 4,912.86 is: 7,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.63 : 24,013.35 = 4,912.86 : x
  2. Step 2: Convert to fraction form
    16,007.63/24,013.35 = 4,912.86/x
  3. Step 3: Cross multiply
    16,007.63x = 24,013.35 × 4,912.86
  4. Step 4: Simplify right side
    16,007.63x = 117,974,263.01
  5. Step 5: Solve for x
    x = 117,974,263.01/16,007.63
  6. Step 6: Final answer
    x = 7,369.88

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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.