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Finding the Fourth Proportional to 25,627, 35,365.80 and 14,449

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Solution

The fourth proportional to 25,627, 35,365.80 and 14,449 is: 19,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,627 : 35,365.80 = 14,449 : x
  2. Step 2: Convert to fraction form
    25,627/35,365.80 = 14,449/x
  3. Step 3: Cross multiply
    25,627x = 35,365.80 × 14,449
  4. Step 4: Simplify right side
    25,627x = 511,000,444.20
  5. Step 5: Solve for x
    x = 511,000,444.20/25,627
  6. Step 6: Final answer
    x = 19,939.92

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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.