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Finding the Fourth Proportional to 14,923.30, 20,594.69 and 8,209.44

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Solution

The fourth proportional to 14,923.30, 20,594.69 and 8,209.44 is: 11,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.30 : 20,594.69 = 8,209.44 : x
  2. Step 2: Convert to fraction form
    14,923.30/20,594.69 = 8,209.44/x
  3. Step 3: Cross multiply
    14,923.30x = 20,594.69 × 8,209.44
  4. Step 4: Simplify right side
    14,923.30x = 169,070,830.83
  5. Step 5: Solve for x
    x = 169,070,830.83/14,923.30
  6. Step 6: Final answer
    x = 11,329.32

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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.