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Finding the Fourth Proportional to 25,276, 34,881.96 and 14,098

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Solution

The fourth proportional to 25,276, 34,881.96 and 14,098 is: 19,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,276 : 34,881.96 = 14,098 : x
  2. Step 2: Convert to fraction form
    25,276/34,881.96 = 14,098/x
  3. Step 3: Cross multiply
    25,276x = 34,881.96 × 14,098
  4. Step 4: Simplify right side
    25,276x = 491,765,872.08
  5. Step 5: Solve for x
    x = 491,765,872.08/25,276
  6. Step 6: Final answer
    x = 19,455.84

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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.