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Finding the Fourth Proportional to 20,699.08, 31,188.08 and 17,082.32

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Solution

The fourth proportional to 20,699.08, 31,188.08 and 17,082.32 is: 25,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699.08 : 31,188.08 = 17,082.32 : x
  2. Step 2: Convert to fraction form
    20,699.08/31,188.08 = 17,082.32/x
  3. Step 3: Cross multiply
    20,699.08x = 31,188.08 × 17,082.32
  4. Step 4: Simplify right side
    20,699.08x = 532,764,649.51
  5. Step 5: Solve for x
    x = 532,764,649.51/20,699.08
  6. Step 6: Final answer
    x = 25,738.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.