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Finding the Fourth Proportional to 17,623.67, 24,322.19 and 9,667.44

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Solution

The fourth proportional to 17,623.67, 24,322.19 and 9,667.44 is: 13,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.67 : 24,322.19 = 9,667.44 : x
  2. Step 2: Convert to fraction form
    17,623.67/24,322.19 = 9,667.44/x
  3. Step 3: Cross multiply
    17,623.67x = 24,322.19 × 9,667.44
  4. Step 4: Simplify right side
    17,623.67x = 235,133,264.16
  5. Step 5: Solve for x
    x = 235,133,264.16/17,623.67
  6. Step 6: Final answer
    x = 13,341.90

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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.