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Finding the Fourth Proportional to 16,801.28, 25,193.64 and 9,783.68

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Solution

The fourth proportional to 16,801.28, 25,193.64 and 9,783.68 is: 14,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.28 : 25,193.64 = 9,783.68 : x
  2. Step 2: Convert to fraction form
    16,801.28/25,193.64 = 9,783.68/x
  3. Step 3: Cross multiply
    16,801.28x = 25,193.64 × 9,783.68
  4. Step 4: Simplify right side
    16,801.28x = 246,486,511.80
  5. Step 5: Solve for x
    x = 246,486,511.80/16,801.28
  6. Step 6: Final answer
    x = 14,670.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.