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Finding the Fourth Proportional to 24,828, 34,262.64 and 13,650

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Solution

The fourth proportional to 24,828, 34,262.64 and 13,650 is: 18,837

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828 : 34,262.64 = 13,650 : x
  2. Step 2: Convert to fraction form
    24,828/34,262.64 = 13,650/x
  3. Step 3: Cross multiply
    24,828x = 34,262.64 × 13,650
  4. Step 4: Simplify right side
    24,828x = 467,685,036
  5. Step 5: Solve for x
    x = 467,685,036/24,828
  6. Step 6: Final answer
    x = 18,837

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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.