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Finding the Fourth Proportional to 19,686.83, 27,176.90 and 11,617.74

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Solution

The fourth proportional to 19,686.83, 27,176.90 and 11,617.74 is: 16,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.83 : 27,176.90 = 11,617.74 : x
  2. Step 2: Convert to fraction form
    19,686.83/27,176.90 = 11,617.74/x
  3. Step 3: Cross multiply
    19,686.83x = 27,176.90 × 11,617.74
  4. Step 4: Simplify right side
    19,686.83x = 315,734,100.12
  5. Step 5: Solve for x
    x = 315,734,100.12/19,686.83
  6. Step 6: Final answer
    x = 16,037.84

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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.