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Finding the Fourth Proportional to 24,109.31, 33,270.93 and 13,354.47

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Solution

The fourth proportional to 24,109.31, 33,270.93 and 13,354.47 is: 18,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.31 : 33,270.93 = 13,354.47 : x
  2. Step 2: Convert to fraction form
    24,109.31/33,270.93 = 13,354.47/x
  3. Step 3: Cross multiply
    24,109.31x = 33,270.93 × 13,354.47
  4. Step 4: Simplify right side
    24,109.31x = 444,315,636.56
  5. Step 5: Solve for x
    x = 444,315,636.56/24,109.31
  6. Step 6: Final answer
    x = 18,429.21

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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.