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Finding the Fourth Proportional to 19,661.19, 27,142.16 and 13,406.37

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Solution

The fourth proportional to 19,661.19, 27,142.16 and 13,406.37 is: 18,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.19 : 27,142.16 = 13,406.37 : x
  2. Step 2: Convert to fraction form
    19,661.19/27,142.16 = 13,406.37/x
  3. Step 3: Cross multiply
    19,661.19x = 27,142.16 × 13,406.37
  4. Step 4: Simplify right side
    19,661.19x = 363,877,772.53
  5. Step 5: Solve for x
    x = 363,877,772.53/19,661.19
  6. Step 6: Final answer
    x = 18,507.41

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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.