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Finding the Fourth Proportional to 21,285.36, 31,927.98 and 9,584.88

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Solution

The fourth proportional to 21,285.36, 31,927.98 and 9,584.88 is: 14,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285.36 : 31,927.98 = 9,584.88 : x
  2. Step 2: Convert to fraction form
    21,285.36/31,927.98 = 9,584.88/x
  3. Step 3: Cross multiply
    21,285.36x = 31,927.98 × 9,584.88
  4. Step 4: Simplify right side
    21,285.36x = 306,025,856.94
  5. Step 5: Solve for x
    x = 306,025,856.94/21,285.36
  6. Step 6: Final answer
    x = 14,377.29

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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.