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Finding the Fourth Proportional to 16,374.20, 22,596.38 and 8,922.20

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Solution

The fourth proportional to 16,374.20, 22,596.38 and 8,922.20 is: 12,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.20 : 22,596.38 = 8,922.20 : x
  2. Step 2: Convert to fraction form
    16,374.20/22,596.38 = 8,922.20/x
  3. Step 3: Cross multiply
    16,374.20x = 22,596.38 × 8,922.20
  4. Step 4: Simplify right side
    16,374.20x = 201,609,264.04
  5. Step 5: Solve for x
    x = 201,609,264.04/16,374.20
  6. Step 6: Final answer
    x = 12,312.62

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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.