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Finding the Fourth Proportional to 16,189.34, 24,277.62 and 7,866.89

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Solution

The fourth proportional to 16,189.34, 24,277.62 and 7,866.89 is: 11,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.34 : 24,277.62 = 7,866.89 : x
  2. Step 2: Convert to fraction form
    16,189.34/24,277.62 = 7,866.89/x
  3. Step 3: Cross multiply
    16,189.34x = 24,277.62 × 7,866.89
  4. Step 4: Simplify right side
    16,189.34x = 190,989,366.00
  5. Step 5: Solve for x
    x = 190,989,366.00/16,189.34
  6. Step 6: Final answer
    x = 11,797.23

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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.