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Finding the Fourth Proportional to 27,433.25, 37,857.89 and 14,858

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Solution

The fourth proportional to 27,433.25, 37,857.89 and 14,858 is: 20,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,433.25 : 37,857.89 = 14,858 : x
  2. Step 2: Convert to fraction form
    27,433.25/37,857.89 = 14,858/x
  3. Step 3: Cross multiply
    27,433.25x = 37,857.89 × 14,858
  4. Step 4: Simplify right side
    27,433.25x = 562,492,529.62
  5. Step 5: Solve for x
    x = 562,492,529.62/27,433.25
  6. Step 6: Final answer
    x = 20,504.04

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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.