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Finding the Fourth Proportional to 20,177.69, 27,842.00 and 11,225.16

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Solution

The fourth proportional to 20,177.69, 27,842.00 and 11,225.16 is: 15,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.69 : 27,842.00 = 11,225.16 : x
  2. Step 2: Convert to fraction form
    20,177.69/27,842.00 = 11,225.16/x
  3. Step 3: Cross multiply
    20,177.69x = 27,842.00 × 11,225.16
  4. Step 4: Simplify right side
    20,177.69x = 312,530,848.59
  5. Step 5: Solve for x
    x = 312,530,848.59/20,177.69
  6. Step 6: Final answer
    x = 15,488.93

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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.