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Finding the Fourth Proportional to 22,678.80, 33,990.84 and 11,582.16

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Solution

The fourth proportional to 22,678.80, 33,990.84 and 11,582.16 is: 17,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.80 : 33,990.84 = 11,582.16 : x
  2. Step 2: Convert to fraction form
    22,678.80/33,990.84 = 11,582.16/x
  3. Step 3: Cross multiply
    22,678.80x = 33,990.84 × 11,582.16
  4. Step 4: Simplify right side
    22,678.80x = 393,687,347.41
  5. Step 5: Solve for x
    x = 393,687,347.41/22,678.80
  6. Step 6: Final answer
    x = 17,359.27

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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.