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Finding the Fourth Proportional to 27,406.14, 37,820.64 and 16,802.82

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Solution

The fourth proportional to 27,406.14, 37,820.64 and 16,802.82 is: 23,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.14 : 37,820.64 = 16,802.82 : x
  2. Step 2: Convert to fraction form
    27,406.14/37,820.64 = 16,802.82/x
  3. Step 3: Cross multiply
    27,406.14x = 37,820.64 × 16,802.82
  4. Step 4: Simplify right side
    27,406.14x = 635,493,406.20
  5. Step 5: Solve for x
    x = 635,493,406.20/27,406.14
  6. Step 6: Final answer
    x = 23,187.99

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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.