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Finding the Fourth Proportional to 17,548.04, 24,204.98 and 10,469

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Solution

The fourth proportional to 17,548.04, 24,204.98 and 10,469 is: 14,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548.04 : 24,204.98 = 10,469 : x
  2. Step 2: Convert to fraction form
    17,548.04/24,204.98 = 10,469/x
  3. Step 3: Cross multiply
    17,548.04x = 24,204.98 × 10,469
  4. Step 4: Simplify right side
    17,548.04x = 253,401,935.62
  5. Step 5: Solve for x
    x = 253,401,935.62/17,548.04
  6. Step 6: Final answer
    x = 14,440.47

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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.