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Finding the Fourth Proportional to 11,454.68, 17,044.81 and 11,415.80

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Solution

The fourth proportional to 11,454.68, 17,044.81 and 11,415.80 is: 16,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.68 : 17,044.81 = 11,415.80 : x
  2. Step 2: Convert to fraction form
    11,454.68/17,044.81 = 11,415.80/x
  3. Step 3: Cross multiply
    11,454.68x = 17,044.81 × 11,415.80
  4. Step 4: Simplify right side
    11,454.68x = 194,580,142.00
  5. Step 5: Solve for x
    x = 194,580,142.00/11,454.68
  6. Step 6: Final answer
    x = 16,986.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.