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Finding the Fourth Proportional to 21,358.08, 32,022 and 8,199.36

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Solution

The fourth proportional to 21,358.08, 32,022 and 8,199.36 is: 12,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.08 : 32,022 = 8,199.36 : x
  2. Step 2: Convert to fraction form
    21,358.08/32,022 = 8,199.36/x
  3. Step 3: Cross multiply
    21,358.08x = 32,022 × 8,199.36
  4. Step 4: Simplify right side
    21,358.08x = 262,559,905.92
  5. Step 5: Solve for x
    x = 262,559,905.92/21,358.08
  6. Step 6: Final answer
    x = 12,293.24

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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.