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Finding the Fourth Proportional to 25,140, 34,694.28 and 13,962

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Solution

The fourth proportional to 25,140, 34,694.28 and 13,962 is: 19,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,140 : 34,694.28 = 13,962 : x
  2. Step 2: Convert to fraction form
    25,140/34,694.28 = 13,962/x
  3. Step 3: Cross multiply
    25,140x = 34,694.28 × 13,962
  4. Step 4: Simplify right side
    25,140x = 484,401,537.36
  5. Step 5: Solve for x
    x = 484,401,537.36/25,140
  6. Step 6: Final answer
    x = 19,268.16

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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.