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Finding the Fourth Proportional to 24,586.31, 33,929.15 and 13,408.31

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Solution

The fourth proportional to 24,586.31, 33,929.15 and 13,408.31 is: 18,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,586.31 : 33,929.15 = 13,408.31 : x
  2. Step 2: Convert to fraction form
    24,586.31/33,929.15 = 13,408.31/x
  3. Step 3: Cross multiply
    24,586.31x = 33,929.15 × 13,408.31
  4. Step 4: Simplify right side
    24,586.31x = 454,932,579.02
  5. Step 5: Solve for x
    x = 454,932,579.02/24,586.31
  6. Step 6: Final answer
    x = 18,503.49

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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.