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Finding the Fourth Proportional to 20,940.50, 31,393.74 and 11,580.14

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Solution

The fourth proportional to 20,940.50, 31,393.74 and 11,580.14 is: 17,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940.50 : 31,393.74 = 11,580.14 : x
  2. Step 2: Convert to fraction form
    20,940.50/31,393.74 = 11,580.14/x
  3. Step 3: Cross multiply
    20,940.50x = 31,393.74 × 11,580.14
  4. Step 4: Simplify right side
    20,940.50x = 363,543,904.32
  5. Step 5: Solve for x
    x = 363,543,904.32/20,940.50
  6. Step 6: Final answer
    x = 17,360.80

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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.