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Finding the Fourth Proportional to 25,978.77, 35,850.74 and 14,042.12

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Solution

The fourth proportional to 25,978.77, 35,850.74 and 14,042.12 is: 19,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.77 : 35,850.74 = 14,042.12 : x
  2. Step 2: Convert to fraction form
    25,978.77/35,850.74 = 14,042.12/x
  3. Step 3: Cross multiply
    25,978.77x = 35,850.74 × 14,042.12
  4. Step 4: Simplify right side
    25,978.77x = 503,420,143.70
  5. Step 5: Solve for x
    x = 503,420,143.70/25,978.77
  6. Step 6: Final answer
    x = 19,378.14

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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.