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Finding the Fourth Proportional to 28,157.84, 38,851.27 and 16,831

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Solution

The fourth proportional to 28,157.84, 38,851.27 and 16,831 is: 23,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,157.84 : 38,851.27 = 16,831 : x
  2. Step 2: Convert to fraction form
    28,157.84/38,851.27 = 16,831/x
  3. Step 3: Cross multiply
    28,157.84x = 38,851.27 × 16,831
  4. Step 4: Simplify right side
    28,157.84x = 653,905,725.37
  5. Step 5: Solve for x
    x = 653,905,725.37/28,157.84
  6. Step 6: Final answer
    x = 23,222.87

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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.