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Finding the Fourth Proportional to 17,563.14, 24,237.15 and 9,605.34

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Solution

The fourth proportional to 17,563.14, 24,237.15 and 9,605.34 is: 13,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,563.14 : 24,237.15 = 9,605.34 : x
  2. Step 2: Convert to fraction form
    17,563.14/24,237.15 = 9,605.34/x
  3. Step 3: Cross multiply
    17,563.14x = 24,237.15 × 9,605.34
  4. Step 4: Simplify right side
    17,563.14x = 232,806,066.38
  5. Step 5: Solve for x
    x = 232,806,066.38/17,563.14
  6. Step 6: Final answer
    x = 13,255.38

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Why These Related Problems?

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