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Finding the Fourth Proportional to 25,619, 35,354.22 and 14,441

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Solution

The fourth proportional to 25,619, 35,354.22 and 14,441 is: 19,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,619 : 35,354.22 = 14,441 : x
  2. Step 2: Convert to fraction form
    25,619/35,354.22 = 14,441/x
  3. Step 3: Cross multiply
    25,619x = 35,354.22 × 14,441
  4. Step 4: Simplify right side
    25,619x = 510,550,291.02
  5. Step 5: Solve for x
    x = 510,550,291.02/25,619
  6. Step 6: Final answer
    x = 19,928.58

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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.