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Finding the Fourth Proportional to 15,200.08, 22,840.22 and 8,185.28

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Solution

The fourth proportional to 15,200.08, 22,840.22 and 8,185.28 is: 12,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.08 : 22,840.22 = 8,185.28 : x
  2. Step 2: Convert to fraction form
    15,200.08/22,840.22 = 8,185.28/x
  3. Step 3: Cross multiply
    15,200.08x = 22,840.22 × 8,185.28
  4. Step 4: Simplify right side
    15,200.08x = 186,953,595.96
  5. Step 5: Solve for x
    x = 186,953,595.96/15,200.08
  6. Step 6: Final answer
    x = 12,299.51

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