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Finding the Fourth Proportional to 14,114.53, 19,470.70 and 8,446.55

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Solution

The fourth proportional to 14,114.53, 19,470.70 and 8,446.55 is: 11,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.53 : 19,470.70 = 8,446.55 : x
  2. Step 2: Convert to fraction form
    14,114.53/19,470.70 = 8,446.55/x
  3. Step 3: Cross multiply
    14,114.53x = 19,470.70 × 8,446.55
  4. Step 4: Simplify right side
    14,114.53x = 164,460,241.09
  5. Step 5: Solve for x
    x = 164,460,241.09/14,114.53
  6. Step 6: Final answer
    x = 11,651.84

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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.