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Finding the Fourth Proportional to 21,349.40, 32,029.70 and 8,202.20

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Solution

The fourth proportional to 21,349.40, 32,029.70 and 8,202.20 is: 12,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349.40 : 32,029.70 = 8,202.20 : x
  2. Step 2: Convert to fraction form
    21,349.40/32,029.70 = 8,202.20/x
  3. Step 3: Cross multiply
    21,349.40x = 32,029.70 × 8,202.20
  4. Step 4: Simplify right side
    21,349.40x = 262,714,005.34
  5. Step 5: Solve for x
    x = 262,714,005.34/21,349.40
  6. Step 6: Final answer
    x = 12,305.45

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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.