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Finding the Fourth Proportional to 20,082, 27,713.16 and 13,798.02

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Solution

The fourth proportional to 20,082, 27,713.16 and 13,798.02 is: 19,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082 : 27,713.16 = 13,798.02 : x
  2. Step 2: Convert to fraction form
    20,082/27,713.16 = 13,798.02/x
  3. Step 3: Cross multiply
    20,082x = 27,713.16 × 13,798.02
  4. Step 4: Simplify right side
    20,082x = 382,386,735.94
  5. Step 5: Solve for x
    x = 382,386,735.94/20,082
  6. Step 6: Final answer
    x = 19,041.27

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1.5x scale

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.