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Finding the Fourth Proportional to 14,494.92, 20,005.68 and 8,207.34

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Solution

The fourth proportional to 14,494.92, 20,005.68 and 8,207.34 is: 11,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.92 : 20,005.68 = 8,207.34 : x
  2. Step 2: Convert to fraction form
    14,494.92/20,005.68 = 8,207.34/x
  3. Step 3: Cross multiply
    14,494.92x = 20,005.68 × 8,207.34
  4. Step 4: Simplify right side
    14,494.92x = 164,193,417.69
  5. Step 5: Solve for x
    x = 164,193,417.69/14,494.92
  6. Step 6: Final answer
    x = 11,327.65

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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.