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Finding the Fourth Proportional to 16,841.74, 23,241.78 and 9,288.40

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Solution

The fourth proportional to 16,841.74, 23,241.78 and 9,288.40 is: 12,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,841.74 : 23,241.78 = 9,288.40 : x
  2. Step 2: Convert to fraction form
    16,841.74/23,241.78 = 9,288.40/x
  3. Step 3: Cross multiply
    16,841.74x = 23,241.78 × 9,288.40
  4. Step 4: Simplify right side
    16,841.74x = 215,878,949.35
  5. Step 5: Solve for x
    x = 215,878,949.35/16,841.74
  6. Step 6: Final answer
    x = 12,818.09

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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.