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Finding the Fourth Proportional to 11,636.48, 16,051.12 and 10,147.96

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Solution

The fourth proportional to 11,636.48, 16,051.12 and 10,147.96 is: 13,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.48 : 16,051.12 = 10,147.96 : x
  2. Step 2: Convert to fraction form
    11,636.48/16,051.12 = 10,147.96/x
  3. Step 3: Cross multiply
    11,636.48x = 16,051.12 × 10,147.96
  4. Step 4: Simplify right side
    11,636.48x = 162,886,123.72
  5. Step 5: Solve for x
    x = 162,886,123.72/11,636.48
  6. Step 6: Final answer
    x = 13,997.89

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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.