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Finding the Fourth Proportional to 17,668.16, 24,356.37 and 12,346.46

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Solution

The fourth proportional to 17,668.16, 24,356.37 and 12,346.46 is: 17,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.16 : 24,356.37 = 12,346.46 : x
  2. Step 2: Convert to fraction form
    17,668.16/24,356.37 = 12,346.46/x
  3. Step 3: Cross multiply
    17,668.16x = 24,356.37 × 12,346.46
  4. Step 4: Simplify right side
    17,668.16x = 300,714,947.95
  5. Step 5: Solve for x
    x = 300,714,947.95/17,668.16
  6. Step 6: Final answer
    x = 17,020.16

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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.