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Finding the Fourth Proportional to 24,038, 36,057 and 7,622

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Solution

The fourth proportional to 24,038, 36,057 and 7,622 is: 11,433

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038 : 36,057 = 7,622 : x
  2. Step 2: Convert to fraction form
    24,038/36,057 = 7,622/x
  3. Step 3: Cross multiply
    24,038x = 36,057 × 7,622
  4. Step 4: Simplify right side
    24,038x = 274,826,454
  5. Step 5: Solve for x
    x = 274,826,454/24,038
  6. Step 6: Final answer
    x = 11,433

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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.