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Finding the Fourth Proportional to 14,340.87, 19,797.09 and 9,568.77

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Solution

The fourth proportional to 14,340.87, 19,797.09 and 9,568.77 is: 13,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.87 : 19,797.09 = 9,568.77 : x
  2. Step 2: Convert to fraction form
    14,340.87/19,797.09 = 9,568.77/x
  3. Step 3: Cross multiply
    14,340.87x = 19,797.09 × 9,568.77
  4. Step 4: Simplify right side
    14,340.87x = 189,433,800.88
  5. Step 5: Solve for x
    x = 189,433,800.88/14,340.87
  6. Step 6: Final answer
    x = 13,209.37

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Why These Related Problems?

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