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Finding the Fourth Proportional to 13,540.53, 20,312.97 and 4,178.34

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Solution

The fourth proportional to 13,540.53, 20,312.97 and 4,178.34 is: 6,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.53 : 20,312.97 = 4,178.34 : x
  2. Step 2: Convert to fraction form
    13,540.53/20,312.97 = 4,178.34/x
  3. Step 3: Cross multiply
    13,540.53x = 20,312.97 × 4,178.34
  4. Step 4: Simplify right side
    13,540.53x = 84,874,495.07
  5. Step 5: Solve for x
    x = 84,874,495.07/13,540.53
  6. Step 6: Final answer
    x = 6,268.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.