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Finding the Fourth Proportional to 25,864.80, 35,692.43 and 15,810.14

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Solution

The fourth proportional to 25,864.80, 35,692.43 and 15,810.14 is: 21,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864.80 : 35,692.43 = 15,810.14 : x
  2. Step 2: Convert to fraction form
    25,864.80/35,692.43 = 15,810.14/x
  3. Step 3: Cross multiply
    25,864.80x = 35,692.43 × 15,810.14
  4. Step 4: Simplify right side
    25,864.80x = 564,302,057.73
  5. Step 5: Solve for x
    x = 564,302,057.73/25,864.80
  6. Step 6: Final answer
    x = 21,817.38

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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.