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Finding the Fourth Proportional to 24,054.08, 36,084 and 8,468.48

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Solution

The fourth proportional to 24,054.08, 36,084 and 8,468.48 is: 12,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,054.08 : 36,084 = 8,468.48 : x
  2. Step 2: Convert to fraction form
    24,054.08/36,084 = 8,468.48/x
  3. Step 3: Cross multiply
    24,054.08x = 36,084 × 8,468.48
  4. Step 4: Simplify right side
    24,054.08x = 305,576,632.32
  5. Step 5: Solve for x
    x = 305,576,632.32/24,054.08
  6. Step 6: Final answer
    x = 12,703.73

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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.