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Finding the Fourth Proportional to 20,254.94, 27,947.35 and 11,752.14

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Solution

The fourth proportional to 20,254.94, 27,947.35 and 11,752.14 is: 16,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.94 : 27,947.35 = 11,752.14 : x
  2. Step 2: Convert to fraction form
    20,254.94/27,947.35 = 11,752.14/x
  3. Step 3: Cross multiply
    20,254.94x = 27,947.35 × 11,752.14
  4. Step 4: Simplify right side
    20,254.94x = 328,441,169.83
  5. Step 5: Solve for x
    x = 328,441,169.83/20,254.94
  6. Step 6: Final answer
    x = 16,215.36

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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.