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Finding the Fourth Proportional to 15,940.80, 22,000.04 and 9,226.32

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Solution

The fourth proportional to 15,940.80, 22,000.04 and 9,226.32 is: 12,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,940.80 : 22,000.04 = 9,226.32 : x
  2. Step 2: Convert to fraction form
    15,940.80/22,000.04 = 9,226.32/x
  3. Step 3: Cross multiply
    15,940.80x = 22,000.04 × 9,226.32
  4. Step 4: Simplify right side
    15,940.80x = 202,979,409.05
  5. Step 5: Solve for x
    x = 202,979,409.05/15,940.80
  6. Step 6: Final answer
    x = 12,733.33

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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.