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Finding the Fourth Proportional to 14,714.48, 20,305.72 and 8,000.24

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Solution

The fourth proportional to 14,714.48, 20,305.72 and 8,000.24 is: 11,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.48 : 20,305.72 = 8,000.24 : x
  2. Step 2: Convert to fraction form
    14,714.48/20,305.72 = 8,000.24/x
  3. Step 3: Cross multiply
    14,714.48x = 20,305.72 × 8,000.24
  4. Step 4: Simplify right side
    14,714.48x = 162,450,633.37
  5. Step 5: Solve for x
    x = 162,450,633.37/14,714.48
  6. Step 6: Final answer
    x = 11,040.19

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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.