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Finding the Fourth Proportional to 30,214.08, 41,692.25 and 17,465.25

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Solution

The fourth proportional to 30,214.08, 41,692.25 and 17,465.25 is: 24,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.08 : 41,692.25 = 17,465.25 : x
  2. Step 2: Convert to fraction form
    30,214.08/41,692.25 = 17,465.25/x
  3. Step 3: Cross multiply
    30,214.08x = 41,692.25 × 17,465.25
  4. Step 4: Simplify right side
    30,214.08x = 728,165,769.32
  5. Step 5: Solve for x
    x = 728,165,769.32/30,214.08
  6. Step 6: Final answer
    x = 24,100.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.