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Finding the Fourth Proportional to 19,842.76, 27,387.06 and 11,458.12

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Solution

The fourth proportional to 19,842.76, 27,387.06 and 11,458.12 is: 15,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.76 : 27,387.06 = 11,458.12 : x
  2. Step 2: Convert to fraction form
    19,842.76/27,387.06 = 11,458.12/x
  3. Step 3: Cross multiply
    19,842.76x = 27,387.06 × 11,458.12
  4. Step 4: Simplify right side
    19,842.76x = 313,804,219.93
  5. Step 5: Solve for x
    x = 313,804,219.93/19,842.76
  6. Step 6: Final answer
    x = 15,814.54

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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.