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Finding the Fourth Proportional to 25,864, 35,692.32 and 14,686

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Solution

The fourth proportional to 25,864, 35,692.32 and 14,686 is: 20,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864 : 35,692.32 = 14,686 : x
  2. Step 2: Convert to fraction form
    25,864/35,692.32 = 14,686/x
  3. Step 3: Cross multiply
    25,864x = 35,692.32 × 14,686
  4. Step 4: Simplify right side
    25,864x = 524,177,411.52
  5. Step 5: Solve for x
    x = 524,177,411.52/25,864
  6. Step 6: Final answer
    x = 20,266.68

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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.