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Finding the Fourth Proportional to 19,840.57, 27,381.20 and 13,114.53

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Solution

The fourth proportional to 19,840.57, 27,381.20 and 13,114.53 is: 18,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.57 : 27,381.20 = 13,114.53 : x
  2. Step 2: Convert to fraction form
    19,840.57/27,381.20 = 13,114.53/x
  3. Step 3: Cross multiply
    19,840.57x = 27,381.20 × 13,114.53
  4. Step 4: Simplify right side
    19,840.57x = 359,091,568.84
  5. Step 5: Solve for x
    x = 359,091,568.84/19,840.57
  6. Step 6: Final answer
    x = 18,098.85

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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.