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Finding the Fourth Proportional to 14,167.96, 19,550.59 and 8,200.02

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Solution

The fourth proportional to 14,167.96, 19,550.59 and 8,200.02 is: 11,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,167.96 : 19,550.59 = 8,200.02 : x
  2. Step 2: Convert to fraction form
    14,167.96/19,550.59 = 8,200.02/x
  3. Step 3: Cross multiply
    14,167.96x = 19,550.59 × 8,200.02
  4. Step 4: Simplify right side
    14,167.96x = 160,315,229.01
  5. Step 5: Solve for x
    x = 160,315,229.01/14,167.96
  6. Step 6: Final answer
    x = 11,315.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.