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Finding the Fourth Proportional to 17,020.46, 23,489.70 and 9,949.16

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Solution

The fourth proportional to 17,020.46, 23,489.70 and 9,949.16 is: 13,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,020.46 : 23,489.70 = 9,949.16 : x
  2. Step 2: Convert to fraction form
    17,020.46/23,489.70 = 9,949.16/x
  3. Step 3: Cross multiply
    17,020.46x = 23,489.70 × 9,949.16
  4. Step 4: Simplify right side
    17,020.46x = 233,702,783.65
  5. Step 5: Solve for x
    x = 233,702,783.65/17,020.46
  6. Step 6: Final answer
    x = 13,730.70

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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.