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Finding the Fourth Proportional to 14,643.96, 20,206.38 and 8,674.68

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Solution

The fourth proportional to 14,643.96, 20,206.38 and 8,674.68 is: 11,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.96 : 20,206.38 = 8,674.68 : x
  2. Step 2: Convert to fraction form
    14,643.96/20,206.38 = 8,674.68/x
  3. Step 3: Cross multiply
    14,643.96x = 20,206.38 × 8,674.68
  4. Step 4: Simplify right side
    14,643.96x = 175,283,880.46
  5. Step 5: Solve for x
    x = 175,283,880.46/14,643.96
  6. Step 6: Final answer
    x = 11,969.70

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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.