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Finding the Fourth Proportional to 21,253.54, 31,880.37 and 10,157.71

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Solution

The fourth proportional to 21,253.54, 31,880.37 and 10,157.71 is: 15,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.54 : 31,880.37 = 10,157.71 : x
  2. Step 2: Convert to fraction form
    21,253.54/31,880.37 = 10,157.71/x
  3. Step 3: Cross multiply
    21,253.54x = 31,880.37 × 10,157.71
  4. Step 4: Simplify right side
    21,253.54x = 323,831,553.15
  5. Step 5: Solve for x
    x = 323,831,553.15/21,253.54
  6. Step 6: Final answer
    x = 15,236.59

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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.