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Finding the Fourth Proportional to 23,749, 32,770.78 and 13,137.19

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Solution

The fourth proportional to 23,749, 32,770.78 and 13,137.19 is: 18,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,749 : 32,770.78 = 13,137.19 : x
  2. Step 2: Convert to fraction form
    23,749/32,770.78 = 13,137.19/x
  3. Step 3: Cross multiply
    23,749x = 32,770.78 × 13,137.19
  4. Step 4: Simplify right side
    23,749x = 430,515,963.31
  5. Step 5: Solve for x
    x = 430,515,963.31/23,749
  6. Step 6: Final answer
    x = 18,127.75

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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.