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Finding the Fourth Proportional to 19,902.24, 29,856.60 and 6,048

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Solution

The fourth proportional to 19,902.24, 29,856.60 and 6,048 is: 9,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.24 : 29,856.60 = 6,048 : x
  2. Step 2: Convert to fraction form
    19,902.24/29,856.60 = 6,048/x
  3. Step 3: Cross multiply
    19,902.24x = 29,856.60 × 6,048
  4. Step 4: Simplify right side
    19,902.24x = 180,572,716.80
  5. Step 5: Solve for x
    x = 180,572,716.80/19,902.24
  6. Step 6: Final answer
    x = 9,072.98

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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.