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Finding the Fourth Proportional to 16,238.34, 24,337.89 and 7,905.87

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Solution

The fourth proportional to 16,238.34, 24,337.89 and 7,905.87 is: 11,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.34 : 24,337.89 = 7,905.87 : x
  2. Step 2: Convert to fraction form
    16,238.34/24,337.89 = 7,905.87/x
  3. Step 3: Cross multiply
    16,238.34x = 24,337.89 × 7,905.87
  4. Step 4: Simplify right side
    16,238.34x = 192,412,194.41
  5. Step 5: Solve for x
    x = 192,412,194.41/16,238.34
  6. Step 6: Final answer
    x = 11,849.25

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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.