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Finding the Fourth Proportional to 11,560.50, 17,347.32 and 11,466.54

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Solution

The fourth proportional to 11,560.50, 17,347.32 and 11,466.54 is: 17,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.50 : 17,347.32 = 11,466.54 : x
  2. Step 2: Convert to fraction form
    11,560.50/17,347.32 = 11,466.54/x
  3. Step 3: Cross multiply
    11,560.50x = 17,347.32 × 11,466.54
  4. Step 4: Simplify right side
    11,560.50x = 198,913,738.67
  5. Step 5: Solve for x
    x = 198,913,738.67/11,560.50
  6. Step 6: Final answer
    x = 17,206.33

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Why These Related Problems?

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