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Finding the Fourth Proportional to 12,362.85, 18,519.56 and 7,429.80

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Solution

The fourth proportional to 12,362.85, 18,519.56 and 7,429.80 is: 11,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.85 : 18,519.56 = 7,429.80 : x
  2. Step 2: Convert to fraction form
    12,362.85/18,519.56 = 7,429.80/x
  3. Step 3: Cross multiply
    12,362.85x = 18,519.56 × 7,429.80
  4. Step 4: Simplify right side
    12,362.85x = 137,596,655.86
  5. Step 5: Solve for x
    x = 137,596,655.86/12,362.85
  6. Step 6: Final answer
    x = 11,129.85

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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.