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Finding the Fourth Proportional to 17,156.16, 25,738.08 and 5,470.08

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Solution

The fourth proportional to 17,156.16, 25,738.08 and 5,470.08 is: 8,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156.16 : 25,738.08 = 5,470.08 : x
  2. Step 2: Convert to fraction form
    17,156.16/25,738.08 = 5,470.08/x
  3. Step 3: Cross multiply
    17,156.16x = 25,738.08 × 5,470.08
  4. Step 4: Simplify right side
    17,156.16x = 140,789,356.65
  5. Step 5: Solve for x
    x = 140,789,356.65/17,156.16
  6. Step 6: Final answer
    x = 8,206.34

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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.