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Finding the Fourth Proportional to 22,472.34, 33,698.03 and 6,671.57

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Solution

The fourth proportional to 22,472.34, 33,698.03 and 6,671.57 is: 10,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.34 : 33,698.03 = 6,671.57 : x
  2. Step 2: Convert to fraction form
    22,472.34/33,698.03 = 6,671.57/x
  3. Step 3: Cross multiply
    22,472.34x = 33,698.03 × 6,671.57
  4. Step 4: Simplify right side
    22,472.34x = 224,818,564.16
  5. Step 5: Solve for x
    x = 224,818,564.16/22,472.34
  6. Step 6: Final answer
    x = 10,004.24

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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.