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Finding the Fourth Proportional to 15,884.56, 23,832.03 and 11,438.58

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Solution

The fourth proportional to 15,884.56, 23,832.03 and 11,438.58 is: 17,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.56 : 23,832.03 = 11,438.58 : x
  2. Step 2: Convert to fraction form
    15,884.56/23,832.03 = 11,438.58/x
  3. Step 3: Cross multiply
    15,884.56x = 23,832.03 × 11,438.58
  4. Step 4: Simplify right side
    15,884.56x = 272,604,581.72
  5. Step 5: Solve for x
    x = 272,604,581.72/15,884.56
  6. Step 6: Final answer
    x = 17,161.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.