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Finding the Fourth Proportional to 24,302.67, 36,422.70 and 11,798.49

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Solution

The fourth proportional to 24,302.67, 36,422.70 and 11,798.49 is: 17,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302.67 : 36,422.70 = 11,798.49 : x
  2. Step 2: Convert to fraction form
    24,302.67/36,422.70 = 11,798.49/x
  3. Step 3: Cross multiply
    24,302.67x = 36,422.70 × 11,798.49
  4. Step 4: Simplify right side
    24,302.67x = 429,732,861.72
  5. Step 5: Solve for x
    x = 429,732,861.72/24,302.67
  6. Step 6: Final answer
    x = 17,682.54

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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.