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Finding the Fourth Proportional to 16,499.67, 22,761.50 and 9,424.23

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Solution

The fourth proportional to 16,499.67, 22,761.50 and 9,424.23 is: 13,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.67 : 22,761.50 = 9,424.23 : x
  2. Step 2: Convert to fraction form
    16,499.67/22,761.50 = 9,424.23/x
  3. Step 3: Cross multiply
    16,499.67x = 22,761.50 × 9,424.23
  4. Step 4: Simplify right side
    16,499.67x = 214,509,564.02
  5. Step 5: Solve for x
    x = 214,509,564.02/16,499.67
  6. Step 6: Final answer
    x = 13,000.84

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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.