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Finding the Fourth Proportional to 22,980.22, 34,465.92 and 8,189.08

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Solution

The fourth proportional to 22,980.22, 34,465.92 and 8,189.08 is: 12,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.22 : 34,465.92 = 8,189.08 : x
  2. Step 2: Convert to fraction form
    22,980.22/34,465.92 = 8,189.08/x
  3. Step 3: Cross multiply
    22,980.22x = 34,465.92 × 8,189.08
  4. Step 4: Simplify right side
    22,980.22x = 282,244,176.15
  5. Step 5: Solve for x
    x = 282,244,176.15/22,980.22
  6. Step 6: Final answer
    x = 12,282.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.