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Finding the Fourth Proportional to 17,692.52, 24,405.54 and 11,057

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Solution

The fourth proportional to 17,692.52, 24,405.54 and 11,057 is: 15,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.52 : 24,405.54 = 11,057 : x
  2. Step 2: Convert to fraction form
    17,692.52/24,405.54 = 11,057/x
  3. Step 3: Cross multiply
    17,692.52x = 24,405.54 × 11,057
  4. Step 4: Simplify right side
    17,692.52x = 269,852,055.78
  5. Step 5: Solve for x
    x = 269,852,055.78/17,692.52
  6. Step 6: Final answer
    x = 15,252.32

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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.