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Finding the Fourth Proportional to 21,355.20, 32,023.20 and 8,203.20

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Solution

The fourth proportional to 21,355.20, 32,023.20 and 8,203.20 is: 12,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,355.20 : 32,023.20 = 8,203.20 : x
  2. Step 2: Convert to fraction form
    21,355.20/32,023.20 = 8,203.20/x
  3. Step 3: Cross multiply
    21,355.20x = 32,023.20 × 8,203.20
  4. Step 4: Simplify right side
    21,355.20x = 262,692,714.24
  5. Step 5: Solve for x
    x = 262,692,714.24/21,355.20
  6. Step 6: Final answer
    x = 12,301.11

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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.