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Finding the Fourth Proportional to 16,570.49, 24,855.74 and 13,642.64

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Solution

The fourth proportional to 16,570.49, 24,855.74 and 13,642.64 is: 20,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.49 : 24,855.74 = 13,642.64 : x
  2. Step 2: Convert to fraction form
    16,570.49/24,855.74 = 13,642.64/x
  3. Step 3: Cross multiply
    16,570.49x = 24,855.74 × 13,642.64
  4. Step 4: Simplify right side
    16,570.49x = 339,098,004.44
  5. Step 5: Solve for x
    x = 339,098,004.44/16,570.49
  6. Step 6: Final answer
    x = 20,463.97

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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.