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Finding the Fourth Proportional to 20,133.46, 27,782.13 and 11,754.82

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Solution

The fourth proportional to 20,133.46, 27,782.13 and 11,754.82 is: 16,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.46 : 27,782.13 = 11,754.82 : x
  2. Step 2: Convert to fraction form
    20,133.46/27,782.13 = 11,754.82/x
  3. Step 3: Cross multiply
    20,133.46x = 27,782.13 × 11,754.82
  4. Step 4: Simplify right side
    20,133.46x = 326,573,798.46
  5. Step 5: Solve for x
    x = 326,573,798.46/20,133.46
  6. Step 6: Final answer
    x = 16,220.45

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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.