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Finding the Fourth Proportional to 24,921, 34,352.64 and 16,408.44

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Solution

The fourth proportional to 24,921, 34,352.64 and 16,408.44 is: 22,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,921 : 34,352.64 = 16,408.44 : x
  2. Step 2: Convert to fraction form
    24,921/34,352.64 = 16,408.44/x
  3. Step 3: Cross multiply
    24,921x = 34,352.64 × 16,408.44
  4. Step 4: Simplify right side
    24,921x = 563,673,232.28
  5. Step 5: Solve for x
    x = 563,673,232.28/24,921
  6. Step 6: Final answer
    x = 22,618.40

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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.