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Finding the Fourth Proportional to 16,027.96, 22,117.86 and 8,953

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Solution

The fourth proportional to 16,027.96, 22,117.86 and 8,953 is: 12,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.96 : 22,117.86 = 8,953 : x
  2. Step 2: Convert to fraction form
    16,027.96/22,117.86 = 8,953/x
  3. Step 3: Cross multiply
    16,027.96x = 22,117.86 × 8,953
  4. Step 4: Simplify right side
    16,027.96x = 198,021,200.58
  5. Step 5: Solve for x
    x = 198,021,200.58/16,027.96
  6. Step 6: Final answer
    x = 12,354.74

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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.