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Finding the Fourth Proportional to 19,842.24, 27,384.72 and 11,347.44

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Solution

The fourth proportional to 19,842.24, 27,384.72 and 11,347.44 is: 15,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.24 : 27,384.72 = 11,347.44 : x
  2. Step 2: Convert to fraction form
    19,842.24/27,384.72 = 11,347.44/x
  3. Step 3: Cross multiply
    19,842.24x = 27,384.72 × 11,347.44
  4. Step 4: Simplify right side
    19,842.24x = 310,746,467.12
  5. Step 5: Solve for x
    x = 310,746,467.12/19,842.24
  6. Step 6: Final answer
    x = 15,660.86

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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.