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Finding the Fourth Proportional to 16,646.33, 24,977.70 and 11,747.45

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Solution

The fourth proportional to 16,646.33, 24,977.70 and 11,747.45 is: 17,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.33 : 24,977.70 = 11,747.45 : x
  2. Step 2: Convert to fraction form
    16,646.33/24,977.70 = 11,747.45/x
  3. Step 3: Cross multiply
    16,646.33x = 24,977.70 × 11,747.45
  4. Step 4: Simplify right side
    16,646.33x = 293,424,344.31
  5. Step 5: Solve for x
    x = 293,424,344.31/16,646.33
  6. Step 6: Final answer
    x = 17,626.97

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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.