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Finding the Fourth Proportional to 25,482, 35,165.28 and 14,304

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Solution

The fourth proportional to 25,482, 35,165.28 and 14,304 is: 19,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,482 : 35,165.28 = 14,304 : x
  2. Step 2: Convert to fraction form
    25,482/35,165.28 = 14,304/x
  3. Step 3: Cross multiply
    25,482x = 35,165.28 × 14,304
  4. Step 4: Simplify right side
    25,482x = 503,004,165.12
  5. Step 5: Solve for x
    x = 503,004,165.12/25,482
  6. Step 6: Final answer
    x = 19,739.59

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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.