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Finding the Fourth Proportional to 20,216.64, 27,894.24 and 11,830.08

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Solution

The fourth proportional to 20,216.64, 27,894.24 and 11,830.08 is: 16,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.64 : 27,894.24 = 11,830.08 : x
  2. Step 2: Convert to fraction form
    20,216.64/27,894.24 = 11,830.08/x
  3. Step 3: Cross multiply
    20,216.64x = 27,894.24 × 11,830.08
  4. Step 4: Simplify right side
    20,216.64x = 329,991,090.74
  5. Step 5: Solve for x
    x = 329,991,090.74/20,216.64
  6. Step 6: Final answer
    x = 16,322.75

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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.