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Finding the Fourth Proportional to 24,477.12, 36,709.74 and 11,316.92

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Solution

The fourth proportional to 24,477.12, 36,709.74 and 11,316.92 is: 16,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.12 : 36,709.74 = 11,316.92 : x
  2. Step 2: Convert to fraction form
    24,477.12/36,709.74 = 11,316.92/x
  3. Step 3: Cross multiply
    24,477.12x = 36,709.74 × 11,316.92
  4. Step 4: Simplify right side
    24,477.12x = 415,441,007.25
  5. Step 5: Solve for x
    x = 415,441,007.25/24,477.12
  6. Step 6: Final answer
    x = 16,972.63

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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.