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Finding the Fourth Proportional to 21,274.49, 31,896.96 and 9,421.81

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Solution

The fourth proportional to 21,274.49, 31,896.96 and 9,421.81 is: 14,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.49 : 31,896.96 = 9,421.81 : x
  2. Step 2: Convert to fraction form
    21,274.49/31,896.96 = 9,421.81/x
  3. Step 3: Cross multiply
    21,274.49x = 31,896.96 × 9,421.81
  4. Step 4: Simplify right side
    21,274.49x = 300,527,047.87
  5. Step 5: Solve for x
    x = 300,527,047.87/21,274.49
  6. Step 6: Final answer
    x = 14,126.17

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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.