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Finding the Fourth Proportional to 16,923.84, 25,388.48 and 5,827.80

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Solution

The fourth proportional to 16,923.84, 25,388.48 and 5,827.80 is: 8,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923.84 : 25,388.48 = 5,827.80 : x
  2. Step 2: Convert to fraction form
    16,923.84/25,388.48 = 5,827.80/x
  3. Step 3: Cross multiply
    16,923.84x = 25,388.48 × 5,827.80
  4. Step 4: Simplify right side
    16,923.84x = 147,958,983.74
  5. Step 5: Solve for x
    x = 147,958,983.74/16,923.84
  6. Step 6: Final answer
    x = 8,742.64

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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.