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Finding the Fourth Proportional to 16,883.50, 25,329.30 and 7,649.50

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Solution

The fourth proportional to 16,883.50, 25,329.30 and 7,649.50 is: 11,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,883.50 : 25,329.30 = 7,649.50 : x
  2. Step 2: Convert to fraction form
    16,883.50/25,329.30 = 7,649.50/x
  3. Step 3: Cross multiply
    16,883.50x = 25,329.30 × 7,649.50
  4. Step 4: Simplify right side
    16,883.50x = 193,756,480.35
  5. Step 5: Solve for x
    x = 193,756,480.35/16,883.50
  6. Step 6: Final answer
    x = 11,476.08

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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.