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Finding the Fourth Proportional to 17,238.34, 23,792.70 and 10,949.50

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Solution

The fourth proportional to 17,238.34, 23,792.70 and 10,949.50 is: 15,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.34 : 23,792.70 = 10,949.50 : x
  2. Step 2: Convert to fraction form
    17,238.34/23,792.70 = 10,949.50/x
  3. Step 3: Cross multiply
    17,238.34x = 23,792.70 × 10,949.50
  4. Step 4: Simplify right side
    17,238.34x = 260,518,168.65
  5. Step 5: Solve for x
    x = 260,518,168.65/17,238.34
  6. Step 6: Final answer
    x = 15,112.72

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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.