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Finding the Fourth Proportional to 27,433, 37,857.54 and 14,857.84

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Solution

The fourth proportional to 27,433, 37,857.54 and 14,857.84 is: 20,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,433 : 37,857.54 = 14,857.84 : x
  2. Step 2: Convert to fraction form
    27,433/37,857.54 = 14,857.84/x
  3. Step 3: Cross multiply
    27,433x = 37,857.54 × 14,857.84
  4. Step 4: Simplify right side
    27,433x = 562,481,272.11
  5. Step 5: Solve for x
    x = 562,481,272.11/27,433
  6. Step 6: Final answer
    x = 20,503.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.