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Finding the Fourth Proportional to 20,182.84, 27,866.04 and 12,632.24

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Solution

The fourth proportional to 20,182.84, 27,866.04 and 12,632.24 is: 17,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.84 : 27,866.04 = 12,632.24 : x
  2. Step 2: Convert to fraction form
    20,182.84/27,866.04 = 12,632.24/x
  3. Step 3: Cross multiply
    20,182.84x = 27,866.04 × 12,632.24
  4. Step 4: Simplify right side
    20,182.84x = 352,010,505.13
  5. Step 5: Solve for x
    x = 352,010,505.13/20,182.84
  6. Step 6: Final answer
    x = 17,441.08

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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.