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Finding the Fourth Proportional to 17,213.92, 23,756.64 and 9,660.16

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Solution

The fourth proportional to 17,213.92, 23,756.64 and 9,660.16 is: 13,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.92 : 23,756.64 = 9,660.16 : x
  2. Step 2: Convert to fraction form
    17,213.92/23,756.64 = 9,660.16/x
  3. Step 3: Cross multiply
    17,213.92x = 23,756.64 × 9,660.16
  4. Step 4: Simplify right side
    17,213.92x = 229,492,943.46
  5. Step 5: Solve for x
    x = 229,492,943.46/17,213.92
  6. Step 6: Final answer
    x = 13,331.82

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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.