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Finding the Fourth Proportional to 16,257.42, 22,435.27 and 8,805.42

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Solution

The fourth proportional to 16,257.42, 22,435.27 and 8,805.42 is: 12,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.42 : 22,435.27 = 8,805.42 : x
  2. Step 2: Convert to fraction form
    16,257.42/22,435.27 = 8,805.42/x
  3. Step 3: Cross multiply
    16,257.42x = 22,435.27 × 8,805.42
  4. Step 4: Simplify right side
    16,257.42x = 197,551,975.16
  5. Step 5: Solve for x
    x = 197,551,975.16/16,257.42
  6. Step 6: Final answer
    x = 12,151.50

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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.