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Finding the Fourth Proportional to 13,773.54, 20,656.62 and 5,980.50

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Solution

The fourth proportional to 13,773.54, 20,656.62 and 5,980.50 is: 8,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.54 : 20,656.62 = 5,980.50 : x
  2. Step 2: Convert to fraction form
    13,773.54/20,656.62 = 5,980.50/x
  3. Step 3: Cross multiply
    13,773.54x = 20,656.62 × 5,980.50
  4. Step 4: Simplify right side
    13,773.54x = 123,536,915.91
  5. Step 5: Solve for x
    x = 123,536,915.91/13,773.54
  6. Step 6: Final answer
    x = 8,969.15

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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.