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Finding the Fourth Proportional to 17,290.92, 25,938 and 10,409.16

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Solution

The fourth proportional to 17,290.92, 25,938 and 10,409.16 is: 15,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,290.92 : 25,938 = 10,409.16 : x
  2. Step 2: Convert to fraction form
    17,290.92/25,938 = 10,409.16/x
  3. Step 3: Cross multiply
    17,290.92x = 25,938 × 10,409.16
  4. Step 4: Simplify right side
    17,290.92x = 269,992,792.08
  5. Step 5: Solve for x
    x = 269,992,792.08/17,290.92
  6. Step 6: Final answer
    x = 15,614.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.