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Finding the Fourth Proportional to 16,524.19, 24,795.38 and 7,164.28

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Solution

The fourth proportional to 16,524.19, 24,795.38 and 7,164.28 is: 10,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.19 : 24,795.38 = 7,164.28 : x
  2. Step 2: Convert to fraction form
    16,524.19/24,795.38 = 7,164.28/x
  3. Step 3: Cross multiply
    16,524.19x = 24,795.38 × 7,164.28
  4. Step 4: Simplify right side
    16,524.19x = 177,641,045.03
  5. Step 5: Solve for x
    x = 177,641,045.03/16,524.19
  6. Step 6: Final answer
    x = 10,750.36

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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.