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Finding the Fourth Proportional to 24,016, 36,024.16 and 7,600

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Solution

The fourth proportional to 24,016, 36,024.16 and 7,600 is: 11,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,016 : 36,024.16 = 7,600 : x
  2. Step 2: Convert to fraction form
    24,016/36,024.16 = 7,600/x
  3. Step 3: Cross multiply
    24,016x = 36,024.16 × 7,600
  4. Step 4: Simplify right side
    24,016x = 273,783,616
  5. Step 5: Solve for x
    x = 273,783,616/24,016
  6. Step 6: Final answer
    x = 11,400.05

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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.