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Finding the Fourth Proportional to 19,706.24, 29,586.69 and 12,339.68

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Solution

The fourth proportional to 19,706.24, 29,586.69 and 12,339.68 is: 18,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.24 : 29,586.69 = 12,339.68 : x
  2. Step 2: Convert to fraction form
    19,706.24/29,586.69 = 12,339.68/x
  3. Step 3: Cross multiply
    19,706.24x = 29,586.69 × 12,339.68
  4. Step 4: Simplify right side
    19,706.24x = 365,090,286.86
  5. Step 5: Solve for x
    x = 365,090,286.86/19,706.24
  6. Step 6: Final answer
    x = 18,526.63

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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.