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Finding the Fourth Proportional to 21,905.10, 32,857.65 and 8,052.30

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Solution

The fourth proportional to 21,905.10, 32,857.65 and 8,052.30 is: 12,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.10 : 32,857.65 = 8,052.30 : x
  2. Step 2: Convert to fraction form
    21,905.10/32,857.65 = 8,052.30/x
  3. Step 3: Cross multiply
    21,905.10x = 32,857.65 × 8,052.30
  4. Step 4: Simplify right side
    21,905.10x = 264,579,655.10
  5. Step 5: Solve for x
    x = 264,579,655.10/21,905.10
  6. Step 6: Final answer
    x = 12,078.45

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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.