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Finding the Fourth Proportional to 17,336.16, 23,917.68 and 15,660

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Solution

The fourth proportional to 17,336.16, 23,917.68 and 15,660 is: 21,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,336.16 : 23,917.68 = 15,660 : x
  2. Step 2: Convert to fraction form
    17,336.16/23,917.68 = 15,660/x
  3. Step 3: Cross multiply
    17,336.16x = 23,917.68 × 15,660
  4. Step 4: Simplify right side
    17,336.16x = 374,550,868.80
  5. Step 5: Solve for x
    x = 374,550,868.80/17,336.16
  6. Step 6: Final answer
    x = 21,605.18

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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.