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Finding the Fourth Proportional to 16,234.77, 22,405.58 and 9,859.89

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Solution

The fourth proportional to 16,234.77, 22,405.58 and 9,859.89 is: 13,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.77 : 22,405.58 = 9,859.89 : x
  2. Step 2: Convert to fraction form
    16,234.77/22,405.58 = 9,859.89/x
  3. Step 3: Cross multiply
    16,234.77x = 22,405.58 × 9,859.89
  4. Step 4: Simplify right side
    16,234.77x = 220,916,504.89
  5. Step 5: Solve for x
    x = 220,916,504.89/16,234.77
  6. Step 6: Final answer
    x = 13,607.62

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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.