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Finding the Fourth Proportional to 25,692.80, 38,539.97 and 6,972.77

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Solution

The fourth proportional to 25,692.80, 38,539.97 and 6,972.77 is: 10,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.80 : 38,539.97 = 6,972.77 : x
  2. Step 2: Convert to fraction form
    25,692.80/38,539.97 = 6,972.77/x
  3. Step 3: Cross multiply
    25,692.80x = 38,539.97 × 6,972.77
  4. Step 4: Simplify right side
    25,692.80x = 268,730,171.35
  5. Step 5: Solve for x
    x = 268,730,171.35/25,692.80
  6. Step 6: Final answer
    x = 10,459.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.