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Finding the Fourth Proportional to 16,072.56, 24,105.04 and 4,383

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Solution

The fourth proportional to 16,072.56, 24,105.04 and 4,383 is: 6,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.56 : 24,105.04 = 4,383 : x
  2. Step 2: Convert to fraction form
    16,072.56/24,105.04 = 4,383/x
  3. Step 3: Cross multiply
    16,072.56x = 24,105.04 × 4,383
  4. Step 4: Simplify right side
    16,072.56x = 105,652,390.32
  5. Step 5: Solve for x
    x = 105,652,390.32/16,072.56
  6. Step 6: Final answer
    x = 6,573.46

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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.