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Finding the Fourth Proportional to 11,560.86, 17,230.05 and 11,464.34

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Solution

The fourth proportional to 11,560.86, 17,230.05 and 11,464.34 is: 17,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.86 : 17,230.05 = 11,464.34 : x
  2. Step 2: Convert to fraction form
    11,560.86/17,230.05 = 11,464.34/x
  3. Step 3: Cross multiply
    11,560.86x = 17,230.05 × 11,464.34
  4. Step 4: Simplify right side
    11,560.86x = 197,531,065.27
  5. Step 5: Solve for x
    x = 197,531,065.27/11,560.86
  6. Step 6: Final answer
    x = 17,086.19

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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.