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Finding the Fourth Proportional to 27,303.54, 40,965.32 and 11,512.54

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Solution

The fourth proportional to 27,303.54, 40,965.32 and 11,512.54 is: 17,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,303.54 : 40,965.32 = 11,512.54 : x
  2. Step 2: Convert to fraction form
    27,303.54/40,965.32 = 11,512.54/x
  3. Step 3: Cross multiply
    27,303.54x = 40,965.32 × 11,512.54
  4. Step 4: Simplify right side
    27,303.54x = 471,614,885.11
  5. Step 5: Solve for x
    x = 471,614,885.11/27,303.54
  6. Step 6: Final answer
    x = 17,273.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.