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Finding the Fourth Proportional to 11,652.40, 17,466.29 and 8,363.71

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Solution

The fourth proportional to 11,652.40, 17,466.29 and 8,363.71 is: 12,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.40 : 17,466.29 = 8,363.71 : x
  2. Step 2: Convert to fraction form
    11,652.40/17,466.29 = 8,363.71/x
  3. Step 3: Cross multiply
    11,652.40x = 17,466.29 × 8,363.71
  4. Step 4: Simplify right side
    11,652.40x = 146,082,984.34
  5. Step 5: Solve for x
    x = 146,082,984.34/11,652.40
  6. Step 6: Final answer
    x = 12,536.73

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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.