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Finding the Fourth Proportional to 25,879, 35,713.02 and 14,701

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Solution

The fourth proportional to 25,879, 35,713.02 and 14,701 is: 20,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879 : 35,713.02 = 14,701 : x
  2. Step 2: Convert to fraction form
    25,879/35,713.02 = 14,701/x
  3. Step 3: Cross multiply
    25,879x = 35,713.02 × 14,701
  4. Step 4: Simplify right side
    25,879x = 525,017,107.02
  5. Step 5: Solve for x
    x = 525,017,107.02/25,879
  6. Step 6: Final answer
    x = 20,287.38

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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.