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Finding the Fourth Proportional to 15,486.03, 23,232.42 and 5,625

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Solution

The fourth proportional to 15,486.03, 23,232.42 and 5,625 is: 8,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486.03 : 23,232.42 = 5,625 : x
  2. Step 2: Convert to fraction form
    15,486.03/23,232.42 = 5,625/x
  3. Step 3: Cross multiply
    15,486.03x = 23,232.42 × 5,625
  4. Step 4: Simplify right side
    15,486.03x = 130,682,362.50
  5. Step 5: Solve for x
    x = 130,682,362.50/15,486.03
  6. Step 6: Final answer
    x = 8,438.73

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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.