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Finding the Fourth Proportional to 21,954.42, 32,908.50 and 9,471.51

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Solution

The fourth proportional to 21,954.42, 32,908.50 and 9,471.51 is: 14,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.42 : 32,908.50 = 9,471.51 : x
  2. Step 2: Convert to fraction form
    21,954.42/32,908.50 = 9,471.51/x
  3. Step 3: Cross multiply
    21,954.42x = 32,908.50 × 9,471.51
  4. Step 4: Simplify right side
    21,954.42x = 311,693,186.84
  5. Step 5: Solve for x
    x = 311,693,186.84/21,954.42
  6. Step 6: Final answer
    x = 14,197.29

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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.