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Finding the Fourth Proportional to 17,184.46, 23,709.72 and 10,470.28

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Solution

The fourth proportional to 17,184.46, 23,709.72 and 10,470.28 is: 14,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.46 : 23,709.72 = 10,470.28 : x
  2. Step 2: Convert to fraction form
    17,184.46/23,709.72 = 10,470.28/x
  3. Step 3: Cross multiply
    17,184.46x = 23,709.72 × 10,470.28
  4. Step 4: Simplify right side
    17,184.46x = 248,247,407.12
  5. Step 5: Solve for x
    x = 248,247,407.12/17,184.46
  6. Step 6: Final answer
    x = 14,446.04

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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.