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Finding the Fourth Proportional to 16,854.59, 23,261.39 and 9,684.49

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Solution

The fourth proportional to 16,854.59, 23,261.39 and 9,684.49 is: 13,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.59 : 23,261.39 = 9,684.49 : x
  2. Step 2: Convert to fraction form
    16,854.59/23,261.39 = 9,684.49/x
  3. Step 3: Cross multiply
    16,854.59x = 23,261.39 × 9,684.49
  4. Step 4: Simplify right side
    16,854.59x = 225,274,698.84
  5. Step 5: Solve for x
    x = 225,274,698.84/16,854.59
  6. Step 6: Final answer
    x = 13,365.78

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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.