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Finding the Fourth Proportional to 17,623.50, 24,322.59 and 10,171.50

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Solution

The fourth proportional to 17,623.50, 24,322.59 and 10,171.50 is: 14,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.50 : 24,322.59 = 10,171.50 : x
  2. Step 2: Convert to fraction form
    17,623.50/24,322.59 = 10,171.50/x
  3. Step 3: Cross multiply
    17,623.50x = 24,322.59 × 10,171.50
  4. Step 4: Simplify right side
    17,623.50x = 247,397,224.19
  5. Step 5: Solve for x
    x = 247,397,224.19/17,623.50
  6. Step 6: Final answer
    x = 14,037.92

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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.