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Finding the Fourth Proportional to 12,281.72, 18,422.70 and 9,832.11

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Solution

The fourth proportional to 12,281.72, 18,422.70 and 9,832.11 is: 14,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.72 : 18,422.70 = 9,832.11 : x
  2. Step 2: Convert to fraction form
    12,281.72/18,422.70 = 9,832.11/x
  3. Step 3: Cross multiply
    12,281.72x = 18,422.70 × 9,832.11
  4. Step 4: Simplify right side
    12,281.72x = 181,134,012.90
  5. Step 5: Solve for x
    x = 181,134,012.90/12,281.72
  6. Step 6: Final answer
    x = 14,748.27

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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.