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Finding the Fourth Proportional to 12,288.29, 18,430.90 and 3,967.45

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Solution

The fourth proportional to 12,288.29, 18,430.90 and 3,967.45 is: 5,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.29 : 18,430.90 = 3,967.45 : x
  2. Step 2: Convert to fraction form
    12,288.29/18,430.90 = 3,967.45/x
  3. Step 3: Cross multiply
    12,288.29x = 18,430.90 × 3,967.45
  4. Step 4: Simplify right side
    12,288.29x = 73,123,618.21
  5. Step 5: Solve for x
    x = 73,123,618.21/12,288.29
  6. Step 6: Final answer
    x = 5,950.68

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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.