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Finding the Fourth Proportional to 13,828, 19,082 and 7,540.32

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Solution

The fourth proportional to 13,828, 19,082 and 7,540.32 is: 10,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828 : 19,082 = 7,540.32 : x
  2. Step 2: Convert to fraction form
    13,828/19,082 = 7,540.32/x
  3. Step 3: Cross multiply
    13,828x = 19,082 × 7,540.32
  4. Step 4: Simplify right side
    13,828x = 143,884,386.24
  5. Step 5: Solve for x
    x = 143,884,386.24/13,828
  6. Step 6: Final answer
    x = 10,405.29

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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.