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Finding the Fourth Proportional to 27,785.99, 38,340.54 and 16,878.46

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Solution

The fourth proportional to 27,785.99, 38,340.54 and 16,878.46 is: 23,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.99 : 38,340.54 = 16,878.46 : x
  2. Step 2: Convert to fraction form
    27,785.99/38,340.54 = 16,878.46/x
  3. Step 3: Cross multiply
    27,785.99x = 38,340.54 × 16,878.46
  4. Step 4: Simplify right side
    27,785.99x = 647,129,270.77
  5. Step 5: Solve for x
    x = 647,129,270.77/27,785.99
  6. Step 6: Final answer
    x = 23,289.77

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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.