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Finding the Fourth Proportional to 16,008, 24,015.84 and 5,064

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Solution

The fourth proportional to 16,008, 24,015.84 and 5,064 is: 7,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008 : 24,015.84 = 5,064 : x
  2. Step 2: Convert to fraction form
    16,008/24,015.84 = 5,064/x
  3. Step 3: Cross multiply
    16,008x = 24,015.84 × 5,064
  4. Step 4: Simplify right side
    16,008x = 121,616,213.76
  5. Step 5: Solve for x
    x = 121,616,213.76/16,008
  6. Step 6: Final answer
    x = 7,597.21

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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.