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Finding the Fourth Proportional to 19,842.14, 27,382.14 and 11,458.64

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Solution

The fourth proportional to 19,842.14, 27,382.14 and 11,458.64 is: 15,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.14 : 27,382.14 = 11,458.64 : x
  2. Step 2: Convert to fraction form
    19,842.14/27,382.14 = 11,458.64/x
  3. Step 3: Cross multiply
    19,842.14x = 27,382.14 × 11,458.64
  4. Step 4: Simplify right side
    19,842.14x = 313,762,084.69
  5. Step 5: Solve for x
    x = 313,762,084.69/19,842.14
  6. Step 6: Final answer
    x = 15,812.92

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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.