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Finding the Fourth Proportional to 13,020.71, 19,562.22 and 8,349.86

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Solution

The fourth proportional to 13,020.71, 19,562.22 and 8,349.86 is: 12,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.71 : 19,562.22 = 8,349.86 : x
  2. Step 2: Convert to fraction form
    13,020.71/19,562.22 = 8,349.86/x
  3. Step 3: Cross multiply
    13,020.71x = 19,562.22 × 8,349.86
  4. Step 4: Simplify right side
    13,020.71x = 163,341,847.19
  5. Step 5: Solve for x
    x = 163,341,847.19/13,020.71
  6. Step 6: Final answer
    x = 12,544.78

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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.