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Finding the Fourth Proportional to 14,555.20, 21,834.20 and 5,788.16

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Solution

The fourth proportional to 14,555.20, 21,834.20 and 5,788.16 is: 8,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555.20 : 21,834.20 = 5,788.16 : x
  2. Step 2: Convert to fraction form
    14,555.20/21,834.20 = 5,788.16/x
  3. Step 3: Cross multiply
    14,555.20x = 21,834.20 × 5,788.16
  4. Step 4: Simplify right side
    14,555.20x = 126,379,843.07
  5. Step 5: Solve for x
    x = 126,379,843.07/14,555.20
  6. Step 6: Final answer
    x = 8,682.80

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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.