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Finding the Fourth Proportional to 24,961, 34,446.36 and 13,783

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Solution

The fourth proportional to 24,961, 34,446.36 and 13,783 is: 19,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,961 : 34,446.36 = 13,783 : x
  2. Step 2: Convert to fraction form
    24,961/34,446.36 = 13,783/x
  3. Step 3: Cross multiply
    24,961x = 34,446.36 × 13,783
  4. Step 4: Simplify right side
    24,961x = 474,774,179.88
  5. Step 5: Solve for x
    x = 474,774,179.88/24,961
  6. Step 6: Final answer
    x = 19,020.64

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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.