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Finding the Fourth Proportional to 14,682.96, 20,265.48 and 9,376.80

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Solution

The fourth proportional to 14,682.96, 20,265.48 and 9,376.80 is: 12,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.96 : 20,265.48 = 9,376.80 : x
  2. Step 2: Convert to fraction form
    14,682.96/20,265.48 = 9,376.80/x
  3. Step 3: Cross multiply
    14,682.96x = 20,265.48 × 9,376.80
  4. Step 4: Simplify right side
    14,682.96x = 190,025,352.86
  5. Step 5: Solve for x
    x = 190,025,352.86/14,682.96
  6. Step 6: Final answer
    x = 12,941.90

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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.