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Finding the Fourth Proportional to 17,616.86, 24,321.76 and 11,653.64

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Solution

The fourth proportional to 17,616.86, 24,321.76 and 11,653.64 is: 16,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.86 : 24,321.76 = 11,653.64 : x
  2. Step 2: Convert to fraction form
    17,616.86/24,321.76 = 11,653.64/x
  3. Step 3: Cross multiply
    17,616.86x = 24,321.76 × 11,653.64
  4. Step 4: Simplify right side
    17,616.86x = 283,437,035.21
  5. Step 5: Solve for x
    x = 283,437,035.21/17,616.86
  6. Step 6: Final answer
    x = 16,088.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.