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Finding the Fourth Proportional to 17,563.70, 24,237.62 and 9,605.76

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Solution

The fourth proportional to 17,563.70, 24,237.62 and 9,605.76 is: 13,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,563.70 : 24,237.62 = 9,605.76 : x
  2. Step 2: Convert to fraction form
    17,563.70/24,237.62 = 9,605.76/x
  3. Step 3: Cross multiply
    17,563.70x = 24,237.62 × 9,605.76
  4. Step 4: Simplify right side
    17,563.70x = 232,820,712.66
  5. Step 5: Solve for x
    x = 232,820,712.66/17,563.70
  6. Step 6: Final answer
    x = 13,255.79

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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.