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Finding the Fourth Proportional to 22,364.28, 33,556 and 7,574.76

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Solution

The fourth proportional to 22,364.28, 33,556 and 7,574.76 is: 11,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.28 : 33,556 = 7,574.76 : x
  2. Step 2: Convert to fraction form
    22,364.28/33,556 = 7,574.76/x
  3. Step 3: Cross multiply
    22,364.28x = 33,556 × 7,574.76
  4. Step 4: Simplify right side
    22,364.28x = 254,178,646.56
  5. Step 5: Solve for x
    x = 254,178,646.56/22,364.28
  6. Step 6: Final answer
    x = 11,365.38

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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.