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Finding the Fourth Proportional to 20,028.12, 27,641.36 and 11,643

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Solution

The fourth proportional to 20,028.12, 27,641.36 and 11,643 is: 16,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028.12 : 27,641.36 = 11,643 : x
  2. Step 2: Convert to fraction form
    20,028.12/27,641.36 = 11,643/x
  3. Step 3: Cross multiply
    20,028.12x = 27,641.36 × 11,643
  4. Step 4: Simplify right side
    20,028.12x = 321,828,354.48
  5. Step 5: Solve for x
    x = 321,828,354.48/20,028.12
  6. Step 6: Final answer
    x = 16,068.82

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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.