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Finding the Fourth Proportional to 27,857.94, 38,443.64 and 15,282.69

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Solution

The fourth proportional to 27,857.94, 38,443.64 and 15,282.69 is: 21,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.94 : 38,443.64 = 15,282.69 : x
  2. Step 2: Convert to fraction form
    27,857.94/38,443.64 = 15,282.69/x
  3. Step 3: Cross multiply
    27,857.94x = 38,443.64 × 15,282.69
  4. Step 4: Simplify right side
    27,857.94x = 587,522,232.59
  5. Step 5: Solve for x
    x = 587,522,232.59/27,857.94
  6. Step 6: Final answer
    x = 21,089.94

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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.