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Finding the Fourth Proportional to 21,296.34, 31,955.31 and 9,606.96

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Solution

The fourth proportional to 21,296.34, 31,955.31 and 9,606.96 is: 14,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.34 : 31,955.31 = 9,606.96 : x
  2. Step 2: Convert to fraction form
    21,296.34/31,955.31 = 9,606.96/x
  3. Step 3: Cross multiply
    21,296.34x = 31,955.31 × 9,606.96
  4. Step 4: Simplify right side
    21,296.34x = 306,993,384.96
  5. Step 5: Solve for x
    x = 306,993,384.96/21,296.34
  6. Step 6: Final answer
    x = 14,415.31

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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.