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Finding the Fourth Proportional to 25,982.73, 35,853.65 and 14,654.00

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Solution

The fourth proportional to 25,982.73, 35,853.65 and 14,654.00 is: 20,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982.73 : 35,853.65 = 14,654.00 : x
  2. Step 2: Convert to fraction form
    25,982.73/35,853.65 = 14,654.00/x
  3. Step 3: Cross multiply
    25,982.73x = 35,853.65 × 14,654.00
  4. Step 4: Simplify right side
    25,982.73x = 525,399,339.17
  5. Step 5: Solve for x
    x = 525,399,339.17/25,982.73
  6. Step 6: Final answer
    x = 20,221.10

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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.