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Finding the Fourth Proportional to 21,285.98, 31,896.16 and 9,437.91

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Solution

The fourth proportional to 21,285.98, 31,896.16 and 9,437.91 is: 14,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285.98 : 31,896.16 = 9,437.91 : x
  2. Step 2: Convert to fraction form
    21,285.98/31,896.16 = 9,437.91/x
  3. Step 3: Cross multiply
    21,285.98x = 31,896.16 × 9,437.91
  4. Step 4: Simplify right side
    21,285.98x = 301,033,087.43
  5. Step 5: Solve for x
    x = 301,033,087.43/21,285.98
  6. Step 6: Final answer
    x = 14,142.32

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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.