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Finding the Fourth Proportional to 17,114, 25,596.88 and 10,077.24

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Solution

The fourth proportional to 17,114, 25,596.88 and 10,077.24 is: 15,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114 : 25,596.88 = 10,077.24 : x
  2. Step 2: Convert to fraction form
    17,114/25,596.88 = 10,077.24/x
  3. Step 3: Cross multiply
    17,114x = 25,596.88 × 10,077.24
  4. Step 4: Simplify right side
    17,114x = 257,945,903.01
  5. Step 5: Solve for x
    x = 257,945,903.01/17,114
  6. Step 6: Final answer
    x = 15,072.22

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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.