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Finding the Fourth Proportional to 16,098.96, 22,217.95 and 9,026.74

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Solution

The fourth proportional to 16,098.96, 22,217.95 and 9,026.74 is: 12,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.96 : 22,217.95 = 9,026.74 : x
  2. Step 2: Convert to fraction form
    16,098.96/22,217.95 = 9,026.74/x
  3. Step 3: Cross multiply
    16,098.96x = 22,217.95 × 9,026.74
  4. Step 4: Simplify right side
    16,098.96x = 200,555,657.98
  5. Step 5: Solve for x
    x = 200,555,657.98/16,098.96
  6. Step 6: Final answer
    x = 12,457.68

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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.