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Finding the Fourth Proportional to 11,654.65, 16,100.99 and 9,412.63

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Solution

The fourth proportional to 11,654.65, 16,100.99 and 9,412.63 is: 13,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.65 : 16,100.99 = 9,412.63 : x
  2. Step 2: Convert to fraction form
    11,654.65/16,100.99 = 9,412.63/x
  3. Step 3: Cross multiply
    11,654.65x = 16,100.99 × 9,412.63
  4. Step 4: Simplify right side
    11,654.65x = 151,552,669.86
  5. Step 5: Solve for x
    x = 151,552,669.86/11,654.65
  6. Step 6: Final answer
    x = 13,003.63

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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.