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Finding the Fourth Proportional to 19,804.68, 27,329.76 and 11,842.20

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Solution

The fourth proportional to 19,804.68, 27,329.76 and 11,842.20 is: 16,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.68 : 27,329.76 = 11,842.20 : x
  2. Step 2: Convert to fraction form
    19,804.68/27,329.76 = 11,842.20/x
  3. Step 3: Cross multiply
    19,804.68x = 27,329.76 × 11,842.20
  4. Step 4: Simplify right side
    19,804.68x = 323,644,483.87
  5. Step 5: Solve for x
    x = 323,644,483.87/19,804.68
  6. Step 6: Final answer
    x = 16,341.82

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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.