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Finding the Fourth Proportional to 16,001.16, 23,997.48 and 9,739.50

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Solution

The fourth proportional to 16,001.16, 23,997.48 and 9,739.50 is: 14,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.16 : 23,997.48 = 9,739.50 : x
  2. Step 2: Convert to fraction form
    16,001.16/23,997.48 = 9,739.50/x
  3. Step 3: Cross multiply
    16,001.16x = 23,997.48 × 9,739.50
  4. Step 4: Simplify right side
    16,001.16x = 233,723,456.46
  5. Step 5: Solve for x
    x = 233,723,456.46/16,001.16
  6. Step 6: Final answer
    x = 14,606.66

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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.