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Finding the Fourth Proportional to 24,072, 36,114.24 and 7,656

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Solution

The fourth proportional to 24,072, 36,114.24 and 7,656 is: 11,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072 : 36,114.24 = 7,656 : x
  2. Step 2: Convert to fraction form
    24,072/36,114.24 = 7,656/x
  3. Step 3: Cross multiply
    24,072x = 36,114.24 × 7,656
  4. Step 4: Simplify right side
    24,072x = 276,490,621.44
  5. Step 5: Solve for x
    x = 276,490,621.44/24,072
  6. Step 6: Final answer
    x = 11,485.98

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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.