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Finding the Fourth Proportional to 14,595, 21,892.50 and 5,361

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Solution

The fourth proportional to 14,595, 21,892.50 and 5,361 is: 8,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595 : 21,892.50 = 5,361 : x
  2. Step 2: Convert to fraction form
    14,595/21,892.50 = 5,361/x
  3. Step 3: Cross multiply
    14,595x = 21,892.50 × 5,361
  4. Step 4: Simplify right side
    14,595x = 117,365,692.50
  5. Step 5: Solve for x
    x = 117,365,692.50/14,595
  6. Step 6: Final answer
    x = 8,041.50

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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.