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Finding the Fourth Proportional to 24,728, 34,126.26 and 13,550

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Solution

The fourth proportional to 24,728, 34,126.26 and 13,550 is: 18,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728 : 34,126.26 = 13,550 : x
  2. Step 2: Convert to fraction form
    24,728/34,126.26 = 13,550/x
  3. Step 3: Cross multiply
    24,728x = 34,126.26 × 13,550
  4. Step 4: Simplify right side
    24,728x = 462,410,823
  5. Step 5: Solve for x
    x = 462,410,823/24,728
  6. Step 6: Final answer
    x = 18,699.89

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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.