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Finding the Fourth Proportional to 15,178.86, 20,940.66 and 9,200.16

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Solution

The fourth proportional to 15,178.86, 20,940.66 and 9,200.16 is: 12,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.86 : 20,940.66 = 9,200.16 : x
  2. Step 2: Convert to fraction form
    15,178.86/20,940.66 = 9,200.16/x
  3. Step 3: Cross multiply
    15,178.86x = 20,940.66 × 9,200.16
  4. Step 4: Simplify right side
    15,178.86x = 192,657,422.51
  5. Step 5: Solve for x
    x = 192,657,422.51/15,178.86
  6. Step 6: Final answer
    x = 12,692.48

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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.