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Finding the Fourth Proportional to 23,692.50, 35,538.93 and 8,110.26

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Solution

The fourth proportional to 23,692.50, 35,538.93 and 8,110.26 is: 12,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.50 : 35,538.93 = 8,110.26 : x
  2. Step 2: Convert to fraction form
    23,692.50/35,538.93 = 8,110.26/x
  3. Step 3: Cross multiply
    23,692.50x = 35,538.93 × 8,110.26
  4. Step 4: Simplify right side
    23,692.50x = 288,229,962.42
  5. Step 5: Solve for x
    x = 288,229,962.42/23,692.50
  6. Step 6: Final answer
    x = 12,165.45

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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.