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Finding the Fourth Proportional to 16,824.50, 25,233.48 and 5,731.10

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Solution

The fourth proportional to 16,824.50, 25,233.48 and 5,731.10 is: 8,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.50 : 25,233.48 = 5,731.10 : x
  2. Step 2: Convert to fraction form
    16,824.50/25,233.48 = 5,731.10/x
  3. Step 3: Cross multiply
    16,824.50x = 25,233.48 × 5,731.10
  4. Step 4: Simplify right side
    16,824.50x = 144,615,597.23
  5. Step 5: Solve for x
    x = 144,615,597.23/16,824.50
  6. Step 6: Final answer
    x = 8,595.54

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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.