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Finding the Fourth Proportional to 25,449, 35,119.62 and 14,271

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Solution

The fourth proportional to 25,449, 35,119.62 and 14,271 is: 19,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,449 : 35,119.62 = 14,271 : x
  2. Step 2: Convert to fraction form
    25,449/35,119.62 = 14,271/x
  3. Step 3: Cross multiply
    25,449x = 35,119.62 × 14,271
  4. Step 4: Simplify right side
    25,449x = 501,192,097.02
  5. Step 5: Solve for x
    x = 501,192,097.02/25,449
  6. Step 6: Final answer
    x = 19,693.98

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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.