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Finding the Fourth Proportional to 11,991.48, 16,538.94 and 10,648.50

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Solution

The fourth proportional to 11,991.48, 16,538.94 and 10,648.50 is: 14,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.48 : 16,538.94 = 10,648.50 : x
  2. Step 2: Convert to fraction form
    11,991.48/16,538.94 = 10,648.50/x
  3. Step 3: Cross multiply
    11,991.48x = 16,538.94 × 10,648.50
  4. Step 4: Simplify right side
    11,991.48x = 176,114,902.59
  5. Step 5: Solve for x
    x = 176,114,902.59/11,991.48
  6. Step 6: Final answer
    x = 14,686.67

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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.