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Finding the Fourth Proportional to 19,687.53, 27,178.49 and 13,642.35

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Solution

The fourth proportional to 19,687.53, 27,178.49 and 13,642.35 is: 18,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.53 : 27,178.49 = 13,642.35 : x
  2. Step 2: Convert to fraction form
    19,687.53/27,178.49 = 13,642.35/x
  3. Step 3: Cross multiply
    19,687.53x = 27,178.49 × 13,642.35
  4. Step 4: Simplify right side
    19,687.53x = 370,778,473.05
  5. Step 5: Solve for x
    x = 370,778,473.05/19,687.53
  6. Step 6: Final answer
    x = 18,833.16

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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.