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Finding the Fourth Proportional to 16,563.92, 24,857.40 and 10,706

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Solution

The fourth proportional to 16,563.92, 24,857.40 and 10,706 is: 16,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.92 : 24,857.40 = 10,706 : x
  2. Step 2: Convert to fraction form
    16,563.92/24,857.40 = 10,706/x
  3. Step 3: Cross multiply
    16,563.92x = 24,857.40 × 10,706
  4. Step 4: Simplify right side
    16,563.92x = 266,123,324.40
  5. Step 5: Solve for x
    x = 266,123,324.40/16,563.92
  6. Step 6: Final answer
    x = 16,066.45

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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.