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Finding the Fourth Proportional to 24,616, 36,924 and 10,024

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Solution

The fourth proportional to 24,616, 36,924 and 10,024 is: 15,036

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616 : 36,924 = 10,024 : x
  2. Step 2: Convert to fraction form
    24,616/36,924 = 10,024/x
  3. Step 3: Cross multiply
    24,616x = 36,924 × 10,024
  4. Step 4: Simplify right side
    24,616x = 370,126,176
  5. Step 5: Solve for x
    x = 370,126,176/24,616
  6. Step 6: Final answer
    x = 15,036

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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.