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Finding the Fourth Proportional to 19,802.90, 27,325.41 and 11,842.22

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Solution

The fourth proportional to 19,802.90, 27,325.41 and 11,842.22 is: 16,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.90 : 27,325.41 = 11,842.22 : x
  2. Step 2: Convert to fraction form
    19,802.90/27,325.41 = 11,842.22/x
  3. Step 3: Cross multiply
    19,802.90x = 27,325.41 × 11,842.22
  4. Step 4: Simplify right side
    19,802.90x = 323,593,516.81
  5. Step 5: Solve for x
    x = 323,593,516.81/19,802.90
  6. Step 6: Final answer
    x = 16,340.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.