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Finding the Fourth Proportional to 14,836.30, 20,467.08 and 9,169.08

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Solution

The fourth proportional to 14,836.30, 20,467.08 and 9,169.08 is: 12,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836.30 : 20,467.08 = 9,169.08 : x
  2. Step 2: Convert to fraction form
    14,836.30/20,467.08 = 9,169.08/x
  3. Step 3: Cross multiply
    14,836.30x = 20,467.08 × 9,169.08
  4. Step 4: Simplify right side
    14,836.30x = 187,664,293.89
  5. Step 5: Solve for x
    x = 187,664,293.89/14,836.30
  6. Step 6: Final answer
    x = 12,649.00

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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.