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Finding the Fourth Proportional to 24,408.51, 33,685.22 and 13,798.14

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Solution

The fourth proportional to 24,408.51, 33,685.22 and 13,798.14 is: 19,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.51 : 33,685.22 = 13,798.14 : x
  2. Step 2: Convert to fraction form
    24,408.51/33,685.22 = 13,798.14/x
  3. Step 3: Cross multiply
    24,408.51x = 33,685.22 × 13,798.14
  4. Step 4: Simplify right side
    24,408.51x = 464,793,289.67
  5. Step 5: Solve for x
    x = 464,793,289.67/24,408.51
  6. Step 6: Final answer
    x = 19,042.27

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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.