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Finding the Fourth Proportional to 14,206.80, 21,309.12 and 5,884.68

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Solution

The fourth proportional to 14,206.80, 21,309.12 and 5,884.68 is: 8,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.80 : 21,309.12 = 5,884.68 : x
  2. Step 2: Convert to fraction form
    14,206.80/21,309.12 = 5,884.68/x
  3. Step 3: Cross multiply
    14,206.80x = 21,309.12 × 5,884.68
  4. Step 4: Simplify right side
    14,206.80x = 125,397,352.28
  5. Step 5: Solve for x
    x = 125,397,352.28/14,206.80
  6. Step 6: Final answer
    x = 8,826.57

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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.