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Finding the Fourth Proportional to 11,901.45, 16,432.02 and 10,638.47

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Solution

The fourth proportional to 11,901.45, 16,432.02 and 10,638.47 is: 14,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.45 : 16,432.02 = 10,638.47 : x
  2. Step 2: Convert to fraction form
    11,901.45/16,432.02 = 10,638.47/x
  3. Step 3: Cross multiply
    11,901.45x = 16,432.02 × 10,638.47
  4. Step 4: Simplify right side
    11,901.45x = 174,811,469.65
  5. Step 5: Solve for x
    x = 174,811,469.65/11,901.45
  6. Step 6: Final answer
    x = 14,688.25

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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.