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Finding the Fourth Proportional to 16,169.61, 22,313.98 and 9,096.08

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Solution

The fourth proportional to 16,169.61, 22,313.98 and 9,096.08 is: 12,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.61 : 22,313.98 = 9,096.08 : x
  2. Step 2: Convert to fraction form
    16,169.61/22,313.98 = 9,096.08/x
  3. Step 3: Cross multiply
    16,169.61x = 22,313.98 × 9,096.08
  4. Step 4: Simplify right side
    16,169.61x = 202,969,780.24
  5. Step 5: Solve for x
    x = 202,969,780.24/16,169.61
  6. Step 6: Final answer
    x = 12,552.55

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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.