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Finding the Fourth Proportional to 22,582.72, 33,874.08 and 9,427.92

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Solution

The fourth proportional to 22,582.72, 33,874.08 and 9,427.92 is: 14,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.72 : 33,874.08 = 9,427.92 : x
  2. Step 2: Convert to fraction form
    22,582.72/33,874.08 = 9,427.92/x
  3. Step 3: Cross multiply
    22,582.72x = 33,874.08 × 9,427.92
  4. Step 4: Simplify right side
    22,582.72x = 319,362,116.31
  5. Step 5: Solve for x
    x = 319,362,116.31/22,582.72
  6. Step 6: Final answer
    x = 14,141.88

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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.