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Finding the Fourth Proportional to 15,024, 20,734.44 and 8,736

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Solution

The fourth proportional to 15,024, 20,734.44 and 8,736 is: 12,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024 : 20,734.44 = 8,736 : x
  2. Step 2: Convert to fraction form
    15,024/20,734.44 = 8,736/x
  3. Step 3: Cross multiply
    15,024x = 20,734.44 × 8,736
  4. Step 4: Simplify right side
    15,024x = 181,136,067.84
  5. Step 5: Solve for x
    x = 181,136,067.84/15,024
  6. Step 6: Final answer
    x = 12,056.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.