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Finding the Fourth Proportional to 20,164.64, 27,827.28 and 13,866.08

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Solution

The fourth proportional to 20,164.64, 27,827.28 and 13,866.08 is: 19,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.64 : 27,827.28 = 13,866.08 : x
  2. Step 2: Convert to fraction form
    20,164.64/27,827.28 = 13,866.08/x
  3. Step 3: Cross multiply
    20,164.64x = 27,827.28 × 13,866.08
  4. Step 4: Simplify right side
    20,164.64x = 385,855,290.66
  5. Step 5: Solve for x
    x = 385,855,290.66/20,164.64
  6. Step 6: Final answer
    x = 19,135.24

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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.