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Finding the Fourth Proportional to 25,346.15, 34,978.61 and 14,016.14

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Solution

The fourth proportional to 25,346.15, 34,978.61 and 14,016.14 is: 19,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,346.15 : 34,978.61 = 14,016.14 : x
  2. Step 2: Convert to fraction form
    25,346.15/34,978.61 = 14,016.14/x
  3. Step 3: Cross multiply
    25,346.15x = 34,978.61 × 14,016.14
  4. Step 4: Simplify right side
    25,346.15x = 490,265,024.68
  5. Step 5: Solve for x
    x = 490,265,024.68/25,346.15
  6. Step 6: Final answer
    x = 19,342.78

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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.