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Finding the Fourth Proportional to 25,342.37, 34,971.45 and 14,731.17

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Solution

The fourth proportional to 25,342.37, 34,971.45 and 14,731.17 is: 20,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342.37 : 34,971.45 = 14,731.17 : x
  2. Step 2: Convert to fraction form
    25,342.37/34,971.45 = 14,731.17/x
  3. Step 3: Cross multiply
    25,342.37x = 34,971.45 × 14,731.17
  4. Step 4: Simplify right side
    25,342.37x = 515,170,375.10
  5. Step 5: Solve for x
    x = 515,170,375.10/25,342.37
  6. Step 6: Final answer
    x = 20,328.42

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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.