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Finding the Fourth Proportional to 25,400, 35,050.92 and 14,069.45

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Solution

The fourth proportional to 25,400, 35,050.92 and 14,069.45 is: 19,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,400 : 35,050.92 = 14,069.45 : x
  2. Step 2: Convert to fraction form
    25,400/35,050.92 = 14,069.45/x
  3. Step 3: Cross multiply
    25,400x = 35,050.92 × 14,069.45
  4. Step 4: Simplify right side
    25,400x = 493,147,166.39
  5. Step 5: Solve for x
    x = 493,147,166.39/25,400
  6. Step 6: Final answer
    x = 19,415.24

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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.