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Finding the Fourth Proportional to 12,235.17, 18,359.67 and 5,214.45

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Solution

The fourth proportional to 12,235.17, 18,359.67 and 5,214.45 is: 7,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.17 : 18,359.67 = 5,214.45 : x
  2. Step 2: Convert to fraction form
    12,235.17/18,359.67 = 5,214.45/x
  3. Step 3: Cross multiply
    12,235.17x = 18,359.67 × 5,214.45
  4. Step 4: Simplify right side
    12,235.17x = 95,735,581.23
  5. Step 5: Solve for x
    x = 95,735,581.23/12,235.17
  6. Step 6: Final answer
    x = 7,824.62

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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.