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Finding the Fourth Proportional to 17,586.82, 24,269.74 and 10,033.13

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Solution

The fourth proportional to 17,586.82, 24,269.74 and 10,033.13 is: 13,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.82 : 24,269.74 = 10,033.13 : x
  2. Step 2: Convert to fraction form
    17,586.82/24,269.74 = 10,033.13/x
  3. Step 3: Cross multiply
    17,586.82x = 24,269.74 × 10,033.13
  4. Step 4: Simplify right side
    17,586.82x = 243,501,456.49
  5. Step 5: Solve for x
    x = 243,501,456.49/17,586.82
  6. Step 6: Final answer
    x = 13,845.68

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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.