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Finding the Fourth Proportional to 17,287.16, 25,931.61 and 8,410.64

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Solution

The fourth proportional to 17,287.16, 25,931.61 and 8,410.64 is: 12,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.16 : 25,931.61 = 8,410.64 : x
  2. Step 2: Convert to fraction form
    17,287.16/25,931.61 = 8,410.64/x
  3. Step 3: Cross multiply
    17,287.16x = 25,931.61 × 8,410.64
  4. Step 4: Simplify right side
    17,287.16x = 218,101,306.67
  5. Step 5: Solve for x
    x = 218,101,306.67/17,287.16
  6. Step 6: Final answer
    x = 12,616.38

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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.