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Finding the Fourth Proportional to 25,603.79, 35,333.37 and 14,274

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Solution

The fourth proportional to 25,603.79, 35,333.37 and 14,274 is: 19,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,603.79 : 35,333.37 = 14,274 : x
  2. Step 2: Convert to fraction form
    25,603.79/35,333.37 = 14,274/x
  3. Step 3: Cross multiply
    25,603.79x = 35,333.37 × 14,274
  4. Step 4: Simplify right side
    25,603.79x = 504,348,523.38
  5. Step 5: Solve for x
    x = 504,348,523.38/25,603.79
  6. Step 6: Final answer
    x = 19,698.20

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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.