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Finding the Fourth Proportional to 23,765.49, 32,794.13 and 14,203.47

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Solution

The fourth proportional to 23,765.49, 32,794.13 and 14,203.47 is: 19,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.49 : 32,794.13 = 14,203.47 : x
  2. Step 2: Convert to fraction form
    23,765.49/32,794.13 = 14,203.47/x
  3. Step 3: Cross multiply
    23,765.49x = 32,794.13 × 14,203.47
  4. Step 4: Simplify right side
    23,765.49x = 465,790,370.61
  5. Step 5: Solve for x
    x = 465,790,370.61/23,765.49
  6. Step 6: Final answer
    x = 19,599.44

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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.