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Finding the Fourth Proportional to 25,629.65, 35,385.36 and 16,082.65

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Solution

The fourth proportional to 25,629.65, 35,385.36 and 16,082.65 is: 22,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,629.65 : 35,385.36 = 16,082.65 : x
  2. Step 2: Convert to fraction form
    25,629.65/35,385.36 = 16,082.65/x
  3. Step 3: Cross multiply
    25,629.65x = 35,385.36 × 16,082.65
  4. Step 4: Simplify right side
    25,629.65x = 569,090,343.93
  5. Step 5: Solve for x
    x = 569,090,343.93/25,629.65
  6. Step 6: Final answer
    x = 22,204.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.