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Finding the Fourth Proportional to 34,464.17, 51,695.04 and 11,090

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Solution

The fourth proportional to 34,464.17, 51,695.04 and 11,090 is: 16,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,464.17 : 51,695.04 = 11,090 : x
  2. Step 2: Convert to fraction form
    34,464.17/51,695.04 = 11,090/x
  3. Step 3: Cross multiply
    34,464.17x = 51,695.04 × 11,090
  4. Step 4: Simplify right side
    34,464.17x = 573,297,993.60
  5. Step 5: Solve for x
    x = 573,297,993.60/34,464.17
  6. Step 6: Final answer
    x = 16,634.61

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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.