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Finding the Fourth Proportional to 17,131.20, 25,696.80 and 15,316.80

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Solution

The fourth proportional to 17,131.20, 25,696.80 and 15,316.80 is: 22,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.20 : 25,696.80 = 15,316.80 : x
  2. Step 2: Convert to fraction form
    17,131.20/25,696.80 = 15,316.80/x
  3. Step 3: Cross multiply
    17,131.20x = 25,696.80 × 15,316.80
  4. Step 4: Simplify right side
    17,131.20x = 393,592,746.24
  5. Step 5: Solve for x
    x = 393,592,746.24/17,131.20
  6. Step 6: Final answer
    x = 22,975.20

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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.