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Finding the Fourth Proportional to 11,785.38, 17,710.47 and 11,014.80

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Solution

The fourth proportional to 11,785.38, 17,710.47 and 11,014.80 is: 16,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.38 : 17,710.47 = 11,014.80 : x
  2. Step 2: Convert to fraction form
    11,785.38/17,710.47 = 11,014.80/x
  3. Step 3: Cross multiply
    11,785.38x = 17,710.47 × 11,014.80
  4. Step 4: Simplify right side
    11,785.38x = 195,077,284.96
  5. Step 5: Solve for x
    x = 195,077,284.96/11,785.38
  6. Step 6: Final answer
    x = 16,552.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.