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Finding the Fourth Proportional to 21,465.34, 32,197.84 and 6,674.23

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Solution

The fourth proportional to 21,465.34, 32,197.84 and 6,674.23 is: 10,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465.34 : 32,197.84 = 6,674.23 : x
  2. Step 2: Convert to fraction form
    21,465.34/32,197.84 = 6,674.23/x
  3. Step 3: Cross multiply
    21,465.34x = 32,197.84 × 6,674.23
  4. Step 4: Simplify right side
    21,465.34x = 214,895,789.66
  5. Step 5: Solve for x
    x = 214,895,789.66/21,465.34
  6. Step 6: Final answer
    x = 10,011.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.