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Finding the Fourth Proportional to 16,382.70, 24,544.89 and 7,602.30

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Solution

The fourth proportional to 16,382.70, 24,544.89 and 7,602.30 is: 11,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.70 : 24,544.89 = 7,602.30 : x
  2. Step 2: Convert to fraction form
    16,382.70/24,544.89 = 7,602.30/x
  3. Step 3: Cross multiply
    16,382.70x = 24,544.89 × 7,602.30
  4. Step 4: Simplify right side
    16,382.70x = 186,597,617.25
  5. Step 5: Solve for x
    x = 186,597,617.25/16,382.70
  6. Step 6: Final answer
    x = 11,389.92

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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.