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Finding the Fourth Proportional to 16,243.72, 24,345.95 and 7,911.25

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Solution

The fourth proportional to 16,243.72, 24,345.95 and 7,911.25 is: 11,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.72 : 24,345.95 = 7,911.25 : x
  2. Step 2: Convert to fraction form
    16,243.72/24,345.95 = 7,911.25/x
  3. Step 3: Cross multiply
    16,243.72x = 24,345.95 × 7,911.25
  4. Step 4: Simplify right side
    16,243.72x = 192,606,775.21
  5. Step 5: Solve for x
    x = 192,606,775.21/16,243.72
  6. Step 6: Final answer
    x = 11,857.31

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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.