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Finding the Fourth Proportional to 24,927, 34,399.26 and 13,749

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Solution

The fourth proportional to 24,927, 34,399.26 and 13,749 is: 18,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927 : 34,399.26 = 13,749 : x
  2. Step 2: Convert to fraction form
    24,927/34,399.26 = 13,749/x
  3. Step 3: Cross multiply
    24,927x = 34,399.26 × 13,749
  4. Step 4: Simplify right side
    24,927x = 472,955,425.74
  5. Step 5: Solve for x
    x = 472,955,425.74/24,927
  6. Step 6: Final answer
    x = 18,973.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.