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Finding the Fourth Proportional to 16,419.38, 24,631.49 and 7,649.51

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Solution

The fourth proportional to 16,419.38, 24,631.49 and 7,649.51 is: 11,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.38 : 24,631.49 = 7,649.51 : x
  2. Step 2: Convert to fraction form
    16,419.38/24,631.49 = 7,649.51/x
  3. Step 3: Cross multiply
    16,419.38x = 24,631.49 × 7,649.51
  4. Step 4: Simplify right side
    16,419.38x = 188,418,725.04
  5. Step 5: Solve for x
    x = 188,418,725.04/16,419.38
  6. Step 6: Final answer
    x = 11,475.39

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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.