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Finding the Fourth Proportional to 22,002, 32,973.84 and 18,327.84

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Solution

The fourth proportional to 22,002, 32,973.84 and 18,327.84 is: 27,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002 : 32,973.84 = 18,327.84 : x
  2. Step 2: Convert to fraction form
    22,002/32,973.84 = 18,327.84/x
  3. Step 3: Cross multiply
    22,002x = 32,973.84 × 18,327.84
  4. Step 4: Simplify right side
    22,002x = 604,339,263.71
  5. Step 5: Solve for x
    x = 604,339,263.71/22,002
  6. Step 6: Final answer
    x = 27,467.47

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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.