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Finding the Fourth Proportional to 25,237, 34,828.26 and 14,059

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Solution

The fourth proportional to 25,237, 34,828.26 and 14,059 is: 19,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,237 : 34,828.26 = 14,059 : x
  2. Step 2: Convert to fraction form
    25,237/34,828.26 = 14,059/x
  3. Step 3: Cross multiply
    25,237x = 34,828.26 × 14,059
  4. Step 4: Simplify right side
    25,237x = 489,650,507.34
  5. Step 5: Solve for x
    x = 489,650,507.34/25,237
  6. Step 6: Final answer
    x = 19,402.09

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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.