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Finding the Fourth Proportional to 12,166.72, 18,235.50 and 7,225.72

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Solution

The fourth proportional to 12,166.72, 18,235.50 and 7,225.72 is: 10,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.72 : 18,235.50 = 7,225.72 : x
  2. Step 2: Convert to fraction form
    12,166.72/18,235.50 = 7,225.72/x
  3. Step 3: Cross multiply
    12,166.72x = 18,235.50 × 7,225.72
  4. Step 4: Simplify right side
    12,166.72x = 131,764,617.06
  5. Step 5: Solve for x
    x = 131,764,617.06/12,166.72
  6. Step 6: Final answer
    x = 10,829.92

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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.