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Finding the Fourth Proportional to 27,415.76, 37,834.44 and 16,811.24

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Solution

The fourth proportional to 27,415.76, 37,834.44 and 16,811.24 is: 23,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.76 : 37,834.44 = 16,811.24 : x
  2. Step 2: Convert to fraction form
    27,415.76/37,834.44 = 16,811.24/x
  3. Step 3: Cross multiply
    27,415.76x = 37,834.44 × 16,811.24
  4. Step 4: Simplify right side
    27,415.76x = 636,043,851.11
  5. Step 5: Solve for x
    x = 636,043,851.11/27,415.76
  6. Step 6: Final answer
    x = 23,199.94

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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.