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Finding the Fourth Proportional to 17,384.75, 24,010.65 and 11,709.63

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Solution

The fourth proportional to 17,384.75, 24,010.65 and 11,709.63 is: 16,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384.75 : 24,010.65 = 11,709.63 : x
  2. Step 2: Convert to fraction form
    17,384.75/24,010.65 = 11,709.63/x
  3. Step 3: Cross multiply
    17,384.75x = 24,010.65 × 11,709.63
  4. Step 4: Simplify right side
    17,384.75x = 281,155,827.56
  5. Step 5: Solve for x
    x = 281,155,827.56/17,384.75
  6. Step 6: Final answer
    x = 16,172.56

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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.