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Finding the Fourth Proportional to 15,608, 23,415.24 and 4,933.64

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Solution

The fourth proportional to 15,608, 23,415.24 and 4,933.64 is: 7,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,608 : 23,415.24 = 4,933.64 : x
  2. Step 2: Convert to fraction form
    15,608/23,415.24 = 4,933.64/x
  3. Step 3: Cross multiply
    15,608x = 23,415.24 × 4,933.64
  4. Step 4: Simplify right side
    15,608x = 115,522,364.67
  5. Step 5: Solve for x
    x = 115,522,364.67/15,608
  6. Step 6: Final answer
    x = 7,401.48

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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.