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Finding the Fourth Proportional to 24,024, 36,036.16 and 7,608

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Solution

The fourth proportional to 24,024, 36,036.16 and 7,608 is: 11,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,024 : 36,036.16 = 7,608 : x
  2. Step 2: Convert to fraction form
    24,024/36,036.16 = 7,608/x
  3. Step 3: Cross multiply
    24,024x = 36,036.16 × 7,608
  4. Step 4: Simplify right side
    24,024x = 274,163,105.28
  5. Step 5: Solve for x
    x = 274,163,105.28/24,024
  6. Step 6: Final answer
    x = 11,412.05

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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.