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Finding the Fourth Proportional to 14,813.64, 20,439 and 8,842.68

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Solution

The fourth proportional to 14,813.64, 20,439 and 8,842.68 is: 12,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.64 : 20,439 = 8,842.68 : x
  2. Step 2: Convert to fraction form
    14,813.64/20,439 = 8,842.68/x
  3. Step 3: Cross multiply
    14,813.64x = 20,439 × 8,842.68
  4. Step 4: Simplify right side
    14,813.64x = 180,735,536.52
  5. Step 5: Solve for x
    x = 180,735,536.52/14,813.64
  6. Step 6: Final answer
    x = 12,200.62

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1.5x scale

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.