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Finding the Fourth Proportional to 17,762.49, 24,513.03 and 10,211.27

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Solution

The fourth proportional to 17,762.49, 24,513.03 and 10,211.27 is: 14,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.49 : 24,513.03 = 10,211.27 : x
  2. Step 2: Convert to fraction form
    17,762.49/24,513.03 = 10,211.27/x
  3. Step 3: Cross multiply
    17,762.49x = 24,513.03 × 10,211.27
  4. Step 4: Simplify right side
    17,762.49x = 250,309,045.28
  5. Step 5: Solve for x
    x = 250,309,045.28/17,762.49
  6. Step 6: Final answer
    x = 14,092.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.