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Finding the Fourth Proportional to 15,888.34, 23,832.51 and 5,500.09

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Solution

The fourth proportional to 15,888.34, 23,832.51 and 5,500.09 is: 8,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.34 : 23,832.51 = 5,500.09 : x
  2. Step 2: Convert to fraction form
    15,888.34/23,832.51 = 5,500.09/x
  3. Step 3: Cross multiply
    15,888.34x = 23,832.51 × 5,500.09
  4. Step 4: Simplify right side
    15,888.34x = 131,080,949.93
  5. Step 5: Solve for x
    x = 131,080,949.93/15,888.34
  6. Step 6: Final answer
    x = 8,250.14

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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.