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Finding the Fourth Proportional to 17,364.16, 23,962.57 and 9,406.39

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Solution

The fourth proportional to 17,364.16, 23,962.57 and 9,406.39 is: 12,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.16 : 23,962.57 = 9,406.39 : x
  2. Step 2: Convert to fraction form
    17,364.16/23,962.57 = 9,406.39/x
  3. Step 3: Cross multiply
    17,364.16x = 23,962.57 × 9,406.39
  4. Step 4: Simplify right side
    17,364.16x = 225,401,278.82
  5. Step 5: Solve for x
    x = 225,401,278.82/17,364.16
  6. Step 6: Final answer
    x = 12,980.83

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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.