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Finding the Fourth Proportional to 25,294.51, 34,906.48 and 13,964.02

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Solution

The fourth proportional to 25,294.51, 34,906.48 and 13,964.02 is: 19,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.51 : 34,906.48 = 13,964.02 : x
  2. Step 2: Convert to fraction form
    25,294.51/34,906.48 = 13,964.02/x
  3. Step 3: Cross multiply
    25,294.51x = 34,906.48 × 13,964.02
  4. Step 4: Simplify right side
    25,294.51x = 487,434,784.85
  5. Step 5: Solve for x
    x = 487,434,784.85/25,294.51
  6. Step 6: Final answer
    x = 19,270.38

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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.