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Finding the Fourth Proportional to 23,903.68, 32,964.18 and 15,824.54

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Solution

The fourth proportional to 23,903.68, 32,964.18 and 15,824.54 is: 21,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,903.68 : 32,964.18 = 15,824.54 : x
  2. Step 2: Convert to fraction form
    23,903.68/32,964.18 = 15,824.54/x
  3. Step 3: Cross multiply
    23,903.68x = 32,964.18 × 15,824.54
  4. Step 4: Simplify right side
    23,903.68x = 521,642,984.98
  5. Step 5: Solve for x
    x = 521,642,984.98/23,903.68
  6. Step 6: Final answer
    x = 21,822.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.