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Finding the Fourth Proportional to 18,393.40, 27,595.86 and 11,827

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Solution

The fourth proportional to 18,393.40, 27,595.86 and 11,827 is: 17,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,393.40 : 27,595.86 = 11,827 : x
  2. Step 2: Convert to fraction form
    18,393.40/27,595.86 = 11,827/x
  3. Step 3: Cross multiply
    18,393.40x = 27,595.86 × 11,827
  4. Step 4: Simplify right side
    18,393.40x = 326,376,236.22
  5. Step 5: Solve for x
    x = 326,376,236.22/18,393.40
  6. Step 6: Final answer
    x = 17,744.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.