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Finding the Fourth Proportional to 20,182.94, 27,858.64 and 13,012.86

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Solution

The fourth proportional to 20,182.94, 27,858.64 and 13,012.86 is: 17,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.94 : 27,858.64 = 13,012.86 : x
  2. Step 2: Convert to fraction form
    20,182.94/27,858.64 = 13,012.86/x
  3. Step 3: Cross multiply
    20,182.94x = 27,858.64 × 13,012.86
  4. Step 4: Simplify right side
    20,182.94x = 362,520,549.58
  5. Step 5: Solve for x
    x = 362,520,549.58/20,182.94
  6. Step 6: Final answer
    x = 17,961.74

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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.