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Finding the Fourth Proportional to 21,383.51, 32,076.56 and 8,235.88

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Solution

The fourth proportional to 21,383.51, 32,076.56 and 8,235.88 is: 12,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.51 : 32,076.56 = 8,235.88 : x
  2. Step 2: Convert to fraction form
    21,383.51/32,076.56 = 8,235.88/x
  3. Step 3: Cross multiply
    21,383.51x = 32,076.56 × 8,235.88
  4. Step 4: Simplify right side
    21,383.51x = 264,178,639.37
  5. Step 5: Solve for x
    x = 264,178,639.37/21,383.51
  6. Step 6: Final answer
    x = 12,354.32

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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.