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Finding the Fourth Proportional to 24,208.78, 33,408 and 13,455.42

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Solution

The fourth proportional to 24,208.78, 33,408 and 13,455.42 is: 18,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.78 : 33,408 = 13,455.42 : x
  2. Step 2: Convert to fraction form
    24,208.78/33,408 = 13,455.42/x
  3. Step 3: Cross multiply
    24,208.78x = 33,408 × 13,455.42
  4. Step 4: Simplify right side
    24,208.78x = 449,518,671.36
  5. Step 5: Solve for x
    x = 449,518,671.36/24,208.78
  6. Step 6: Final answer
    x = 18,568.41

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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.