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Finding the Fourth Proportional to 14,830.96, 20,466.12 and 8,542.48

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Solution

The fourth proportional to 14,830.96, 20,466.12 and 8,542.48 is: 11,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.96 : 20,466.12 = 8,542.48 : x
  2. Step 2: Convert to fraction form
    14,830.96/20,466.12 = 8,542.48/x
  3. Step 3: Cross multiply
    14,830.96x = 20,466.12 × 8,542.48
  4. Step 4: Simplify right side
    14,830.96x = 174,831,420.78
  5. Step 5: Solve for x
    x = 174,831,420.78/14,830.96
  6. Step 6: Final answer
    x = 11,788.27

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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.