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Finding the Fourth Proportional to 25,378.85, 35,023.11 and 14,049.39

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Solution

The fourth proportional to 25,378.85, 35,023.11 and 14,049.39 is: 19,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.85 : 35,023.11 = 14,049.39 : x
  2. Step 2: Convert to fraction form
    25,378.85/35,023.11 = 14,049.39/x
  3. Step 3: Cross multiply
    25,378.85x = 35,023.11 × 14,049.39
  4. Step 4: Simplify right side
    25,378.85x = 492,053,252.75
  5. Step 5: Solve for x
    x = 492,053,252.75/25,378.85
  6. Step 6: Final answer
    x = 19,388.32

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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.