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Finding the Fourth Proportional to 24,286.64, 36,420.38 and 11,802.98

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Solution

The fourth proportional to 24,286.64, 36,420.38 and 11,802.98 is: 17,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.64 : 36,420.38 = 11,802.98 : x
  2. Step 2: Convert to fraction form
    24,286.64/36,420.38 = 11,802.98/x
  3. Step 3: Cross multiply
    24,286.64x = 36,420.38 × 11,802.98
  4. Step 4: Simplify right side
    24,286.64x = 429,869,016.73
  5. Step 5: Solve for x
    x = 429,869,016.73/24,286.64
  6. Step 6: Final answer
    x = 17,699.81

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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.